Find the remainder when p(x) = –2x5 + x4 + 5x3 + 4x + 1 is divided by (x - 2).

Answers

Answer 1

The remainder when p(x) = -2x⁵+x⁴+5x³+4x+1 is divided by (x-2) is 1.

To solve the question above, we make use of the remainder theorem.

Remainder Theorem: It states that if a function F(x) is divided by (x-a), the remainder is F(a).

From the question,

Given:

Dividend ⇒ p(x) = -2x⁵+x⁴+5x³+4x+1Divisor ⇒ (x-2)

in view of the above and applying the Remainder theorem, The remainder will be p(2)

p(2) = -2(2⁵)+2⁴+5(2³)+4(2)+1p(2) = -64+16+40+8+1p(2) = 1

hence the remainder when p(x) = -2x⁵+x⁴+5x³+4x+1 is divided by (x-2) is 1

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Related Questions

what do most spaniards and cubans eat when the clock strikes midnight

Answers

Answer:

12 grapes

Explanation: When the clock strikes midnight, people across various Spanish-speaking countries like Cuba and Spain make sure to eat 12 grapes -- one for good luck in each month of the new year.

Please help!! What are Okazaki fragments?

Answers

Explanation:

Okazaki fragments are short sequences of DNA nucleotides (approximately 150 to 200 base pairs long in eukaryotes) which are synthesized discontinuously and later linked together by the enzyme DNA ligase to create the lagging strand during DNA replication.[1] They were discovered in the 1960s by the Japanese molecular biologists Reiji and Tsuneko Okazaki, along with the help of some of their colleagues

During DNA replication, the double helix is unwound and the complementary strands are separated by the enzyme DNA helicase, creating what is known as the DNA replication fork. Following this fork, DNA primase and DNA polymerase begin to act in order to create a new complementary strand. Because these enzymes can only work in the 5’ to 3’ direction, the two unwound template strands are replicated in different ways.[2] One strand, the leading strand, undergoes a continuous replication process since its template strand has 3’ to 5’ directionality, allowing the polymerase assembling the leading strand to follow the replication fork without interruption. The lagging strand, however, cannot be created in a continuous fashion because its template strand has 5’ to 3’ directionality, which means the polymerase must work backwards from the replication fork. This causes periodic breaks in the process of creating the lagging strand. The primase and polymerase move in the opposite direction of the fork, so the enzymes must repeatedly stop and start again while the DNA helicase breaks the strands apart. Once the fragments are made, DNA ligase connects them into a single, continuous strand.[3] The entire replication process is considered "semi-discontinuous" since one of the new strands is formed continuously and the other is not.[4]

[2]During the 1960s, Reiji and Tsuneko Okazaki conducted experiments involving DNA replication in the bacterium Escherichia coli. Before this time, it was commonly thought that replication was a continuous process for both strands, but the discoveries involving E. coli led to a new model of replication. The scientists found there was a discontinuous replication process by pulse-labeling DNA and observing changes that pointed to non-contiguous replication.

Answer:

but actually hope is going to read all of this

Explanation:

lol

What are potential solutions for the spike in human population
O educating women
O family planning (birth control)
O working women (contribute to the household income
O all the above

Answers

I would say D all of the above
Explanation: women are less likely to have big families if they are working a full time job, or getting an education/ have one to use, and birth control helps prevent pregnancy.

15. The
results when pollutants trap radiant energy from the sun
resulting in a warming trend in the atmosphere.
A. greenhouse effect
B. acid rain
C. radioactivity
D. extinction

Answers

Answer:

A. greenhouse effect

Explanation:

The greenhouse effect is a process that occurs when gases in Earth's atmosphere trap the Sun's heat. This process makes Earth much warmer than it would be without an atmosphere. Climate change results from the shedding of gases like CO2 into the atmosphere where it can trap more heat.

The suncoast tree of northwest Africa is known for 2 traits that are said to show simple dominance. The 2 traits are height and bark color. In height, tall is dominant to short, and in bark color blue is dominant to purple. What would the genotypes be of a suncoast tree that is pure bred purple and tall and a suncoast tree that is heterozygous for both traits?

A. bbTT X BbTt

B. BBtt X BBTT

C. bbtt X bbtt

D. BbTt X BbTt

Answers

The genotypes would be bbTT X BbTt

Assuming that bark color is represented by B (b) allele and height is represented by T (t) allele.

Since the traits show simple dominance: blue (B) of dominant over purple (b) and tall (T) is dominant over short (t)

The genotype of a tree that is purebred purple (bb) and tall (TT) would be bbTTThe genotype of a tree that is heterozygous for both trait would be BbTtThus, the cross would be bbTT x BbTt

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11. What occurs during the citric acid cycle?
a.
the formation of ATP
b. the release of carbon dioxide
c. the formation of FADH2
d. all of the above

Answers

Answer:

D. All of the above

End products of citric acid cycle: two GTP, six NADH, two FADH2, and four CO2

how is cytokinesis different in plant and animal cells

Answers

Answer:

The main difference between plant cell and animal cell cytokinesis is the formation of new cell wall surrounding the daughter cells. Plant cells form a cell plate between the two daughter cells. In animal cells, a cleavage furrow is formed between the two daughter cells.

Which process occurs at location W? precipitation evaporation condensation transpiration.

Answers

Answer:

Precipitation

Explanation:

If it's the graph that I am thinking of, then it is precipitation. This is where raining occurs in he picture.

The biogeochemical cycle where the water circulates from the atmosphere to the Earth surface in a continuous motion is called the water or hydrological cycle.

The process that occurs at location W is:

Option A. Precipitation

The water cycle can be explained as:

The water cycle has four main components that are evaporation. condensation, precipitation and runoff.

When an atmospheric substance falls on the ground in the form of rain, snow hails etc. are called precipitation.

When the water from surfaces turns into vapours and moves upwards in the atmosphere is called evaporation.

The vapours in clouds turn into water droplets ready to fall as rain or snow is called condensation.

Transpiration is a plant function in which surplus water is exhaled from the stomata of the leaf.

Therefore, the water cycle shows precipitation.

To learn more about the water cycle follow the link:

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An organism that reproduces sexually has a diploid number of 30. How many
chromosomes will a gamete of this organism have?

Answers

Answer:

Gamete of organism has a haploid number of chromosomes.

2n = 30

n = 15

A diploid cell containing 30 chromosomes will result in 15 chromosomes in each of the 4 daughter cells after meiosis occurs.

After first nuclear and cellular division (Meiosis I), each daughter cell will only have 15 chromosomes as homologous chromosomes are broken apart at Anaphase I of meiosis I. Chromosomal number is halved. After the second nuclear and cellular division (Meiosis II), each daughter cell will also have 15 chromosomes. This time, instead of the chromosomal number being halved, their chromosomal contents are halved. Sister chromatids are separated at Anaphase II of Meiosis II, resulting in daughter chromosomes each.

Hope it helped!(:

Explanation:

what energy carrying molecule is created when the chemical bonds of glucose are broken

Answers

ATP ( adenosine triphosphate )

By oxidizing glucose and other dietary molecules in a step-by-step manner, ATP and NADH are produced as chemical energy.

What is ATP?

A vital "energy molecule" present in all living things is adenosine 5′-triphosphate, also known as ATP and typically written without the 5′-. In particular, it is a coenzyme that transfers energy to cells by releasing its phosphate groups when it interacts with enzymes like ATP triphosphatase.

By adding a phosphate group to another molecule, ATP can drive biological operations (a process called phosphorylation). Special enzymes are responsible for carrying out this transfer, which connects the cellular processes that need energy to the release of energy from ATP.

A variety of cellular functions, such as ion transport, muscular contraction, the transmission of nerve impulses, substrate phosphorylation, and chemical synthesis, all require energy and hence use ATP. A large demand for ATP is generated not just by these processes but also by others.

Learn more about ATP, here:

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Cross a heterozygous black rabbit with a heterozygous black rabbit. What is the

Genotype Percentages? What is the Phenotype Percentages? (How many will be

black, How many white? Percentages of BB Bb & bb)

Answers

Explanation:

Bb x Bb

1BB, 2Bb, and 1 bb

Let B=black fur allele(dominant) and b=white fur allele(recessive),

¾ of the rabbit will be black while ¼ will be white.

Hence,

¾×100%=75%

¼×100%=25%

at what time should we definitely seek shade to avoid sun exposure? between 6am and 8am between 8am and 10am between 10am and 4pm between 4pm and 10pm


SCIENCE. PLEASE HELP!!!!

Answers

Answer:

Between 10am and 4pm

Explanation:

This is when the sun is at its higest point, allowing it to radiate more UV rays on your skin.

Answer:

during the time btw 10 am to 4 pm because sun is scorching at that time so you should seek shade btw this time

What is the disadvantage of plasmolysis to the terrestrial plants?​

Answers

Answer:

technical of plants living on the land or on the ground,so floppy plant.

in which part of cell are calcium ions usually found?

Answers

Answer:

The endoplasmic reticulum

Explanation:

becuase im smart

This image shows a volcanic eruption in Hawaii with lava flowing into the sea.



Which statement best describes this eruption?

Its magma is high in silica.
Its magma has low viscosity.
Its gases are released in rapid bursts.
Its lava came from an explosive eruption.

Answers

The last one is right answer i think

what would be a possible disadvantage of asexual reproduction?

Answers

Answer:

Susceptible to same diseases.

Explanation:

I just answered something along these lines.

which blood vessel brings oxygenated blood from lungs to heart ? ​

Answers

Answer:

Pulmonary vein

Explanation:

This vein transports oxygenated blood from the lungs to the heart to be sent to other body parts.

QUESTION 1 What technique allows you to cut hair very close to the scalp and create a flat top or square shape

Answers

Answer:

Buzz cut= razor

technique= going up with the razor to slightly create a certain look

Explanation:

How do you pronounce the full scientific name of DDT?

Answers

The full scientific name of this chemical compound is quite lengthy, like most scientific compound names..

(Dichlorodiphenyltrichloroethane)

The easiest way to pronounce it is to use this

dahy-klawr-oh-dahy-fen-l-trahy-klawr-oh-eth-eyn

The current human population growth rate is 1.12% per year. At this rate, how many years will it take for our population to double in size?

Answers

Answer:

62.5

Explanation:

The solution for doubling time is 70/(current % growth rate)  

Which statement is true?(1 point)

Mendelian traits cannot be shown on a bell curve.

Mendelian traits are controlled by multiple genes.

Mendelian traits follows a normal distribution.

Hair color and IQ are examples of Mendelian traits.

Answers

Answer:

Hair color and IQ are examples of Mendelian traits.

reactants and products of photosynthesis

Answers

Explanation:

During photosynthesis, light energy converts carbon dioxide and water (the reactants) into glucose and oxygen (the products).

can someone pls help ill mark u the brainlest and no LINKS!!

Answers

Answer:

yeah ill help

Explanation:

Please help! Multiple choice question.

Answers

Answer: A is the correct answer

Hope this helps :)

what are the levels of organization from simplest to most complex

Answers

Answer:

The biological levels of organization of living things arranged from the simplest to most complex are: organelle, cells, tissues, organs, organ systems, organisms, populations, communities, ecosystem, and biosphere

Explanation:

Hope This Helps

Happy Hoildays

~Zero~

Answer:

oops sry we kinda crashed your coms

Explanation:

Describe how scientists make inferences on whether water is polluted or not

Answers

Answer: Water that's safe to drink should ideally be clear with no odor or funny taste. One way to tell if water is contaminated is to look for turbidity, or cloudiness. While cloudy water isn't necessarily dangerous to your health, it could signal the presence of unsafe pathogens or chemicals.

Explanation:

Drinkable water should ideally be transparent and taste and smell normal. Look for turbidity, or cloudiness, as one indicator that water is contaminated.

What is drinkable water?

Surface water and groundwater are the two sources of potable water, also referred to as drinking water. The level of treatment applied to this water satisfies both state and federal standards for potable water.

The indirect potable reuse (IPR) and direct potable reuse (DPR) processes are the two basic ways to turn wastewater into potable water (DPR).

Foggy water may not always be harmful to your health, it may indicate the presence of germs or chemicals that are toxic.

Therefore, Drinkable water should ideally be transparent and taste and smell normal. Look for turbidity, or cloudiness, as one indicator that water is contaminated.

To learn more about water, refer to the link:

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I do believe that i need help.

Answers

If none of the flower colors being bred don't show dominance, it would be pink only because if one showed dominance, than it means you would see that flower and that flower color only. Mixing red with white create pink, and therefore pink would be the only type of flower to have.

Which rock is an example of a chemical sedimentary rock?
-
a: coal
b: iron ore
c: shale
d: sandstone

Answers

Answer:

I think none of them since so far lime stone is the most know example of chemical sedimentary rock.

How to Determine density from an experiment ?

Answers

Answer:

To find the total Volume displaced, subtract Initial Volume and Volume of Object. To calculate Density divide the Mass in grams by the Volume displaced in milliliters. Finally record whether the object floats or sinks.

Explanation:

pls answer these 2 questions​

Answers

Answer:

A1, they use one minute for each experiment to give them time collect and  record the data so it may be saved, thus being their dependent variable

A2 "As the distance between the light and water plant increases, the number of gas bubbles decreases.

Explanation:

I pretty much put in the awnser

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