Use synthetic division to solve (x^4 – 1) ÷ (x – 1). what is the quotient

a. x^3-x^2+x-1
b. x^3
c. x^3+x^2+x+1
d. x^3-2

Option C.

Step-by-step explanation:

We have to solve by synthetic division and tell the quotient.

First we will write the numerator in the standard form as

Which will become as

Since denominator of the fraction is (x -1) therefore we take x = 1 as zero root.

Now we form the synthetic form as below

          1        0      0    0      -1

1          1        1       1      1      0

          x³      x²      x    

Here coefficient of x³ is 1, for x² is 1, for x is 1, and constant term 1.

Now the fraction will come in the form of  

Therefore quotient will be

Option C. is the answer

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

yess

step-by-step explanation:

idk whyy this is happening, i cant even read my notification bc i keep getting errors

~coco