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

the answer is 2/54

step-by-step explanation: