Question

Use synthetic division to solve (x3 1) ÷ (x – 1). What is the quotient? x squared x 1 StartFraction 2 Over x 1 EndFraction x squared minus x 1 x squared x 1 StartFraction 2 Over x minus 1 EndFraction x cubed minus x squared x minus 1.

Answer 1

The quotient is $\rm x^2+x+1$.

Given

The given equation is;

$\rm \dfrac{x^3+1}{x-1}$

What is synthetic division?

The synthetic division method is the shortcut method to divide polynomials.

It is also known as the polynomial division method of a special case when it is divided by the linear factor.

Therefore,

The quotient is;

$\rm =\dfrac{x^3+1}{x-1}\\\\ = \dfrac{x^3+x^2+x-x^2-x-1}{x-1}\\\\ =\dfrac{x(x^2+x+1) - 1((x^2+x+1) }{x-1}\\\\\rm = \dfrac{(x-1) (x^2+x+1)}{x-1}\\\\ = x^2+x+1$

Hence, the quotient is $\rm x^2+x+1$.

To know more about Synthetic division click the link given below.

https://brainly.com/question/25997349

Answer 2

Answer:

its not B on edge but I think its A

Step-by-step explanation:

I put B and got it wrong just took the test lol