If (×+1 ) and(×+2) are factors of the expressionx^4+ax^2+b , find the value of and b, with these value of and factorize completely.​

Answers

Answer 1

Answer:

Step-by-step explanation:

(x⁴+ax²+b) ÷ (x+1) = x³-x²+(a+1)x-(a+1) remainder b+(a+1)

Since x+1 is a factor, b+(a+1) = 0.

(x³-x²+(a+1)x-(a+1)) ÷ (x+2) = x²-3x+(a+7) remainder -3a-15

Since x+2 is a factor, -3a-15 = 0

a = -5

b = 4

x⁴+ax²+b = x⁴ - 5x² + 4 = (x²-4)(x²-1) = (x+2)(x-2)(x+1)(x-1)

If (+1 ) And(+2) Are Factors Of The Expressionx^4+ax^2+b , Find The Value Of And B, With These Value

Related Questions

In the figure above, sin 52=17/c. Based on the figure, which of the following equations is also true
A. Sin 38= c/17
B. Cos 38=17/c
C. Cos 52=17/c
D. Tan 52=c/17

Answers

Answer:

c. Cos 52 = 17/c

Step-by-step explanation:

sin(x) = cos(90-x)

work out the size of angle x​

Answers

Answer:

∠x = 117°

Step-by-step explanation:

supplement of ∠101° = 79°

all triangle interior angles add up to 180°

180° - 79° - 38° = 63°

the supplementary angle to 63° is 117°

Find the distance between the points X and Y shown.

Answers

Answer:

5 units away

Step-by-step explanation:

what's the following rotational symmetries of oranges regular hexagon​

Answers

Answer:

rotational symmetry of 60 degrees around the origin - yes

rotational symmetry of 120 degrees around the origin - yes

Step-by-step explanation:

A regular hexagon has 6 congruent angles

the the angles created on the line of symmetry are equal to 60 so the angle of rotational symmetry is 60 degrees.

The regular hexagon, like stated before, has 6 congruent angles so the order of symmetry is 6

Here is a visual from basic-matematics

please help pleaseeeeeee

Answers

Answer:

B

Step-by-step explanation:

it's basically 2+7

Answer:

it would be C

Step-by-step explanation:

A line's y-intercept is 4, and its slope is 1/2. What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y = 1/2x + 4

Step-by-step explanation:

The slope-intercept equation is written out like so:

y = mx + b

M stands for your slope: 1/2

B stands for your y-intercept: 4

So, your equation is y = 1/2x + 4

A bag contains: 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?

Answers

Step-by-step explanation:

green = 3/20

black = 4/20 = 1/5

Answer: 35

Step-by-step explanation:

Please indicate which type of sampling design is most appropriate for each of the following studies. The choices are SRS, stratified random sampling, and matched pair design.

a. A campus newspaper randomly selects 20 common Spring Break destinations and surveys the residents about their attitudes of students spending Spring Break in their city.
b. A developer in West Lafayette wants to know if students who are renting off-campus like their apartment complex. They chose 10 students who lived in 5 different complexes.
c. A researcher wants to know the difference in time it takes to apply brakes between people who are not talking on the phone and people who are talking on a hands-free cell phone. She chose 100 individuals and then drive both ways in a simulator and measured their responses. A student organization has 55 members. Out of these members, five are selected randomly to attend a national conference.

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

In point 1

The random selection stratified: although 50 statements belong to 5 different groups.

In point 2:

Coincide pair design: As we're in the SAME location to measure the difference between the downstream and upstream fractures. Although when calculating a top-down split they need only to calculate the low-up split which corresponds to the top-down split.

In point 3:

Matched layout: As 100 individuals were chosen and ALL were required to give BOTH and document certain responses.

In point 4:

SRS: RANDOMLY has also been selected since 20 spring break goals.

Round 8 5/9 to the nearest whole number. 9 10 7 8

Answers

Answer:

The answer would be 9,

Step-by-step explanation:

because it is closer to 9 than 8.

what is 3/10(x+2)=12

Answers

X=38

Hope I helped :]

solution...


x=38 it takes a few steps to get the answer

The nutritional chart on the side of a box of a cereal states that there are 87 calories in a 3/4 cup serving. How many calories are in 8 cups of the cereal?

Answers

Answer:

Total calories in 8 cup = 928 calories

Step-by-step explanation:

Given:

Calories in 3/4 cup of cereal = 87 calories

Find:

Total calories in 8 cup

Computation:

Total calories in 8 cup = 8 x 87 x [4/3]

Total calories in 8 cup = 928 calories

125 is what percent of 200?

Answers

Answer:

125 is 62.5% of 200, hope this helps :)

Suppose that we wish to estimate the mean
CPU service time of a job. A sample of 10 jobs
gives a mean of 10 sec and standard deviation
of 1.5 sec. Assume that the CPU service times
are normally distributed, find a 95% confidence
interval for the mean CPU service time.

Answers

Answer:

Step-by-step explanation:

to do lo so ko gogfr org reg  grgrwe wffffqwf qw32767

The three lines shown in the diagram below intersect at the same point. The measures of some of the
angles in degrees are given as...

Answers

Answer:

x =16, y = 151.2

Step-by-step explanation:

Since angle 3/5y and angle 12 and angle 42 lies on the same straight line,

[tex] \frac{3}{5} y + 12 + 42 = 180 \\ \frac{3}{5} y = 180 - 12 - 42 \\ \frac{3}{5} y = 180 - 54 \\ \frac{3}{5} y = 126 \\ y = 126 \div \frac{3}{5} \\ = 126 \times \frac{5}{3} \\ = 151.2[/tex]

Since angle 3(x-2) , 3/5y and 12 lies on the same straight line and we know what y is,

[tex]3(x - 2) + \frac{3}{5} y + 12 = 180 \\ 3(x - 2) + \frac{3}{5} (151.2) + 12 = 180 \\ 3(x - 2) + 126 + 12 = 180 \\ 3(x - 2) = 180 - 12 6 - 12 \\ 3(x - 2) = 42 \\ x - 2 = \frac{42}{3} \\ x = 14 + 2 \\ =16[/tex]

Consider the equation 13x−2=x+2. Write a system of linear equations using each side of the equation. Then solve the original equation by graphing the system of linear equations.

Answers

Answer:

x = 3

Step-by-step explanation:

13x - 2 = x + 2

12x = 4

x = 3

triangle DEF is similar to triangle STU. enter a proportion that contains EF and SU.

Answers

Answer:

Step-by-step explanation:

ΔDEF ~ ΔSTU ⇒ EF ~ TU and DF ~ SU ⇒ [tex]\frac{EF}{TU}[/tex] = [tex]\frac{DF}{SU}[/tex]

What is the solution to this system of equations?
2x+y=6
- 2 x - y = 2
(1,-1)
(0,8)
infinitely many solutions
O no solution

Answers

The answer is No solution

pls help i need answer

Answers

Answer:

109 degrees

Step-by-step explanation:

23 + 48 = 71

180 - 71 = 109 :)

Answer:

i think the answer is 109 im not sure

Step-by-step explanation:

48+23=71 180-72=109

1302 rounded to the nearest thenth

Answers

Answer:

1300

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 1300 Is the answer! I hope this helped

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

The sum of a number times 8 and 23 is at most 26.
Use the variable b for the unknown number

Answers

Answer:

b ≤ 3/8

Step-by-step explanation:

Let the unknown number be b.

Translating the word problem into an algebraic expression, we have;

8b + 23 ≤ 26

Rearranging the equation, we have;

8b ≤ 26 - 23

8b ≤ 3

Dividing both sides by 8, we have;

b ≤ 3/8

70+95 Factor the expression using the GCF

giving brain

Answers

Answer:

70 + 95 = 5(14 + 19)

70 + 95 = 5(14 + 19)

gcf = 5

Step-by-step explanation:

70+95

70=2*5*7

95=5*19

70+95=(5*2*7)+(5*19)=(5*14)+(5*19)=5*(14+19)=5*(33)

5*33=165 and 70+95=165                                                                                                  Hope this helps! Please give me brainly!      

What number can you multiply ONE equation by in the following system to obtain a matching
coefficient? (Elimination)
4x+3y=8
2x+5y=12
(Worth 10 points )

Answers

Answer:

Multiply the second equation by 2

Step-by-step explanation:

Given

[tex]4x + 3y = 8[/tex]

[tex]2x + 5y =12[/tex]

Required

Get matching coefficient for elimination

[tex]4x + 3y = 8[/tex]

[tex]2x + 5y =12[/tex]

The coefficient of x in both expressions are factors.

So, we can multiply the second equation by 2 to get the coefficient of x in the first.

i.e.

[tex]2 * (2x + 5y = 12)[/tex]

[tex]4x + 10y = 24[/tex]

So, the system becomes:

[tex]4x + 3y = 8[/tex]

[tex]4x + 10y = 24[/tex]

Now, x can be eliminated

what is (x+2)^4 using binomial theorem and pascal’s triangle?

Answers

Answer:

x 4 +8x 3 + 24 x 2 + 32 x + 16

Step-by-step explanation:

Please help thank you!!!!!!

Answers

H : because each square contains 100 blocks so the two boxes would be 200 together and as you see one square has all blocks shaded ( 100% ) and then has another 100 block with only 40% shaded in 100% + 40% = 140%

At Chill Hill, there are 540 ways to make an ice cream sundae consisting of one flavor ice cream, one topping, and one type of syrup. If there are 9 ice cream flavors and 5 types of syrup, how many toppings are there?

Please explain for brainliest.

Answers

Answer:

12 toppings

Step-by-step explanation:

9x5=45

540/45=12

-1/3*12+14=2/3*12+2=

Answers

Answer:

10=10

Step-by-step explanation:

_1(12)+14=2(12)+2

3.

Please help quick no Tiny links please plz plz help quick due soon I will give points no Links

Answers

Answer:

I think its B but im not sure

Step-by-step explanation:

Suma40grados 35 con
60grados7
er
ор
q' w
a' rty u
a s d f g h j k l ñ en español​

Answers

Answer:

Je ne sais pas sur quoi vous avez besoin d'aide, pourriez-vous préciser pour que je puisse vous aider ??

Step-by-step explanation:

Find the missing dimension. Use the scale factor 1: 8.
Model height: ?
Actual height: 28 in.

Answers

Answer:

the answer is 6 :))))))))0

Step-by-step explanation:

how do I find the number of solutions for this equation? 6y = 12x + 36
15y = 45x + 60​

Answers

Answer:

6y = 12x + 36  is  x= 1 /2 y−3

15y = 45x + 60​   is  x= 1 /3 y+ −4 /3

Step-by-step explanation:

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