x³+ax²+bx+6 has (x-2) as factor and leaves remainder 3 when divided by (x-3), find values of a and b
Answers
Explanation:
this is your answer....
P(x) = x^3 + ax^2 + bx + 6
________________________________
Reminder :
x - a = 0 ==》 x = a
P(a) = Reamaining of the diving P(x) by
( x - a )
________________________________
x - 2 = 0 ==》x = 2 ==》P(2) = 0
(2)^3 + a(2)^2 + b(2) + 6 = 0
8 + 4a + 2b + 6 = 0
4a + 2b + 14 = 0
4a + 2b + 14 - 14 = 0 - 14
4a + 2b = - 14
( 4a + 2b ) ÷ 2 = ( -14 ) ÷ 2
2a + b = - 7 ( ♡ )
_________________________________
x - 3 = 0 ==》 x = 3 ==》P(3) = 3
(3)^3 + a(3)^2 + b(3) + 6 = 3
27 + 9a + 3b + 6 = 3
9a + 3b + 33 = 3
9a + 3b + 33 - 33 = 3 - 33
9a + 3b = - 30
( 9a + 3b ) ÷ 3 = ( - 30 ) ÷ 3
3a + b = - 10 ( ☆ )
________________________________
( ♡ ) , ( ☆ ) in pair system of equation
( ☆ ) : 3a + b = - 10 3a + b = - 10
====》
( ♡ ) : 2a + b = - 7 × (-1) - 2a - b = + 7
___________ +
a = - 3
So :
2( - 3 ) + b = - 7
- 6 + b = - 7
- 6 + 6 + b = - 7 + 6
b = - 1
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Thus : a = - 3 & b = - 1
Related Questions
100 points possible
Which of the following potential solutions could help a crowded city improve its management of water supplies?
A.
encourage citizens to conserve water in their homes
B.
allow unregulated dumping in rivers and creeks
C.
encourage citizens to grow water-intensive crops
D.
help citizens use more water on agricultural crops
Please select the best answer from the choices provided.
A
B
C
D
Answers
Answer:
I'm pretty sure that the answer is B
Explanation:
mostly because if your trying to make solutions that could help a crowded city improve its management of water supplies you wouldn't want unregulated dumping in rivers and creeks or help citizens use more water on agricultural crops and encouraging citizens to grow water-intensive crops is the same thing as the other but not all people have crops.
Answer:
A. encourage citizens to conserve water in their homes.
Explanation:
Conservation of water would definitely help to manage water supplies. It's the most appropriate answer. Also, It is correct on edg.
How does site and situation influence the origin, function, and growth of cities?
No one has decently answered this question so pleaseee help me
Answers
Answer:
it have led to employment to pple
An equilateral triangle has an altitude of 5√3 m. What is the perimeter of the triangle?
Answers
Answer: Perimeter is 10
Express 30km/h in m/s.
Answers
Answer:
8 1/3 or 8.33333
Explanation:
moving people and goods from place to place is called
Answers
6- Calcule a densidade demográfica dos estados constates da tabela e aponte qual é o mais povoado e o menos populoso
Answers
Answer:
Depends on the geographical characteristics of the region.
Explanation:
The most populated and least populated regions depends on the geographical characteristics of the region. Those regions having good geographical characteristics such as flat plain land, coastal regions etc having high population whereas least population is present in those regions where bad geographical characteristics such as hilly areas and desert regions etc are present so we can say that most populated and low populated regions depends on the geographical characteristics of the region.
A P-wave reaches a seismograph station 2,600 kilometers from an earthquake epicenter at 12:10 p.m. According to the Earth Science Reference Tables, at what time did the earthquake occur
Answers
Answer:
12:05pm
Explanation:
To get this, the arrival time at the epicenter will be removed from the distance of the seismograph station which will give us
12:05pm
The US economy received all of the following benefits as a result of technological advancements during industrialization except __________. A. increased production B. reduced costs of consumer goods C. increased farm employment D. the invention of new products Please select the best answer from the choices provided. A B C D
Answers
Answer:
The answer is C. increased farm employment
Explanation:
edge2021
Answer:
c
Explanation:
on edgen
At the San Andreas transform fault, Group of answer choices Lithosphere is subducted as one plate dives below another. New lithosphere is formed as two plates pull away from each other. Pressure-release melting recycles old crust. The Pacific Plate moves to the north relative to the North American Plate. All of the above.
Answers
Answer:
The Pacific Plate moves to the north relative to the North American Plate.
Explanation:
San Andrea's transform fault is a transform fault. It extends roughly 1200 km through California. It forms a tectonic boundary between the Pacific and North Atlantic plate. The fault is divided into three segments and has a motion of right-lateral strike-slip. The slip range of fault varies from 20 to 35 mm.If SX=2y+2 and XU=3y-5, find the value of y
Answers
why is orthophoto map an example of raster data
Answers
An archaeologist found some maps made by an ancient civilization. Which ancient map would be the most likely to show local trade routes
Answers
Answer:
A thematic map would be more likely to show local trade routes.
Explanation:
Thematic maps represent the terrestrial surface, taking into account some specific element. Thus, thematic maps, in addition to presenting the physical characteristics of the region, can present elements capable of facilitating the reading of the map and presenting more information to the observer. In this way, a thematic map can show the location of monasteries, forests and even trade routes.
In this case, we can consider that a thematic map would probably present local commercial routes.
vggdnfjrejjjjjjjjjrrrrrr
Answers
Answer:
?
Explanation:
what is what is the main river of Egypt,and why is it Important?
Answers
Explanation:
The Nile River played an important role in shaping the lives and society of Ancient Egypt. The Nile provided the Ancient Egyptians with food, transportation, building materials, and more. The Nile River is the longest river in the world. It is over 4,100 miles longhere's your answer..
Which principle tells you how rock layers are laid?
Answers
Answer: (would be no use In Me Telling The Awnser So Why Don't You Fin Out It's Easy)
Explanation:
Law of superposition, a major principle of stratigraphy stating that within a sequence of layers of sedimentary rock, the oldest layer is at the base and that the layers are progressively younger with ascending order in the sequence.
7. பின்வரும் இயைபுச்சொற்களைத் தொடரில் அமைத்து எழுதுக.
அ) கேட்டு வரும்
ஆ) பாட்டு வரும்
(எ.கா.) "ஏனிவ் விருட்டெனக் கேட்டு வரும் - நீதி
ஏந்திய தீபமாய்ப் பாட்டு வரும்."
Tooncouronica
Answers
Answer:
A the one who hears is the answer
Explanation:
it is A because everyone can hear so can i and the word synonym is for that
The high school students who attend Washington Preparatory Academy choose their elective classes according to their majors. Students are 37% likely to major in Performing Arts; 43% likely to choose Science and Technology; 82% likely to major in Business and Management; and 63% likely to select Humanities. Many students choose multiple majors. For example, some Science and Technology students also major in Business and Management because they want to be managers in technical companies. Students have equal probabilities of being freshmen, sophomores, juniors, or seniors.
If Event A = sophomore or senior, what is Event A’?
Group of answer choices
Answers
Answer:freshmen or junior
Explanation:
got it right
As per the rule of probability, the Event A' will be consisting of freshmen or seniors.
What is the rule of probability?
As per the probability, an event is regarded as the chances of drawing the contents such event consist of. Similarly, an Event' is the probability of all the other items remaining in the event.
Hence, the probability of the Event A' consists of freshmen or seniors.
Learn more about probability here:
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WHY IS FAST FOOD SO POPULAR? And how does this relate back to Human Geography? Please ANSWER BOTH PARTS!
Answers
1.Ok fast food is popular because its cheap and it does not cost as much as a fancy restaurant. And it's not like it has a bad taste to it it taste good but however the cheaper it is the cheaper it taste.
2.The availability of food high in fat, salt and sugar through Fast Food (FF) or takeaway outlets, is implicated in the causal pathway for the obesity epidemic. This review aims to summarise this body of research and highlight areas for future work. Thirty three studies were found that had assessed the geography of these outlets. Fourteen studies showed a positive association between availability of FF outlets and increasing deprivation. Another 13 studies also included overweight or obesity data and showed conflicting results between obesity/overweight and FF outlet availability. There is some evidence that FF availability is associated with lower fruit and vegetable intake. There is potential for land use policies to have an influence on the location of new FF outlets. Further research should incorporate good quality data on FF consumption, weight and physical activity.
I just need written answers of a tv show with these things
Answers
Answer:
The Twilight Zone
The Addams Family
1) Why were the United States & the Soviet Union competing against one another?
Answers
It’s because of the fact that the USA government was initially hostile to the Soviet leaders for taking Russia out of World War I.
I need help ASAP pls
Answers
Answer:
m< B = 120°
Explanation:
The sum of the angles of a trapezoids 360°
m<c=m<D= 60°
60°+60°+2x=360°
120°+2x=360°
2x=360°–120°
2x=240°
x=240/2
x=120°
So : m<B =120°
Which of the following phenomena never affects the moon's phase? A The moon's orbit around the earth B. The earth's orbit around the sun С The earth's rotation on Its axis D The relative positions of the earth, moon, and sun
Answers
Answer:
b) the Earth's orbit around the sun
Explanation:
plz mark me as brainlist
hope it HELPS..!!
The earth's orbit around the sun never affects the moon's phase. The appropriate response is option B.
What is moon's phase?Any variation in the Moon's appearance as viewed from Earth caused by the Sun's illumination of the lunar disk to variable degrees. There are eight phases that the Moon goes through: new moon , waxing crescent, first quarter moon , gibbous moon , full moon , waning gibbous, last quarter, and waning crescent moon .
When there is a new moon, the side of the moon that is in shadow faces Earth since it is between Earth and the Sun. When there is a full moon, the lit side of the moon faces Earth since it is on the other side of the planet from the Sun.
When the Moon and Sun are at a right angle, the first and last quarters, when half the Moon seems lighted, take place
To learn more about moon's phase
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provide labels for intrusive features A,B,and C
Answers
Answer:
D-main vent
A -Lava flow
state the specific features of the earth that caused the formation and sustainbility of life
Answers
Answer:
The specific characteristics of the Earth that allow life on the planet are: liquid water, mild temperature, atmosphere composed of breathable and non-toxic gases, agricultural land and vegetable and animal foods.
Explanation:
The Earth is the only planet that has sufficient characteristics to form and maintain the sustainability of life on the planet. Among the main characteristics, the most prominent is water in a liquid state, since most of the living beings on earth need liquid water for the functioning of the organism. The Earth also has a non-toxic atmosphere and soil, which allows the breathing of aerobic beings and the planting of vegetables and the sustenance of animals that will be used in the food of living beings. In addition, the distance between the earth and the sun, allows the planet to have a mild temperature, compared to other planets.
Which are the neighbors of Argentina that are part of the contention for land?
Chile and Bolivia
Uruguay and Brazil
Uruguay and Paraguay
Brasil and Peru
Answers
Answer:
All of the answers for the quiz:
1. Agustina
2. Eighth
3. Over a million square miles of land
4. Because of some land they share.
5. Uruguay and Brazil
Explanation:
I got 100% on edge
Uruguay and Brazil are the neighbors of Argentina that are part of the contention for land. Thus, option B is correct.
What is contention for land?The contention of land means that the land that is having a fight that which part of it belongs to whom. basically, it is a disputed land, where the ownership of the land is not known, and that land thus has fought on the resources or products produced on that land.
Brazil and Uruguay come to the northeast of Argentina. the land of Uruguay is famous for growing great vegetation supply, and the part with Brazil has some mountain ranges that can protect the land of Argentina and as there is a similar claim on the land, and they are having disputes about it, and that land is termed a s contention land. Therefore, option B is the correct option.
Learn more about Argentina, here:
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The exclusion of Lucretia Mott and Elizabeth Cady Stanton from participating in the World's Anti-Slavery Convention in London in 1840 encouraged them to ?
Answers
Answer:
It encouraged them to organize the first Women's Rights convention in Seneca Falls New York.
Explanation:
The World's Anti-Slavery Convention was held in London in 1840 and at this convention, women were denied participation at the convention. They were only allowed to view the proceedings from a gallery at one side of the hall. It was there that Lucretia Mott and Elizabeth Cady Stanton met each other.
As they went home together, they discussed the obvious exclusion of women from the convention. There and then, they resolved to organize the Women's Rights convention that held in 1848. These two women actively campaigned for women's rights.
How did colonization affect Africa?
A. It decreased diversity in Africa.
B. It stabilized the African economy.
C. It ended apartheid.
D. It increased ethnic tensions in Africa.
Answers
Answer:
It is D. It increased ethnic tensions in Africa.
Explanation:
I just took the quiz! I hope this helps! <33
Name three roles or jobs that are the most important in our world and explain why?
Answers
What is the difference between rivers and streams? Is stream faster than rivers? How much erosion is done by river and stream? Do they have a big difference between the flowing and erosion rates? Please answer quickly.
Answers
Explanation:
If a stream has a steep slope or gradient, it will have a faster velocity, which means it will be able to carry larger materials in suspension. At flood stage, rivers flow much faster and do more erosion because the added water increases the stream's velocity.plz help i will mark brainliest
Answers
Answer:
25%
Explanation:
there's only one gg out of 4 alleles
=> 1/4 = 25%