Use synthetic division to find (x^2 + 8x - 7) ÷ (x - 1). Write your answer in the form q(x) + r/d(x), where q(x) is a polynomial, r is an integer, and d(x) is a linear polynomial. Simplify any fractions. ______

Set up synthetic division: Set up synthetic division with the root of the divisor (x - 1), which is 1, and the coefficients of the dividend (x^2 + 8x - 7), which are 1, 8, and -7.Perform synthetic division: Perform synthetic division: 1 | 1 8 -7 | 1 9 ------------ 1 9 2Write result polynomial: Write the result of the synthetic division as a polynomial plus a remainder: q(x) = x + 9 and the remainder is 2.Express result in form: Express the result in the form q(x) + r/d(x): (x + 9) + 2/(x - 1).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Use synthetic division to find $(x^2 + 8x - 7) \div (x - 1)$ . $\newline$ Write your answer in the form $q(x) + \frac{r}{d(x)}$ , where $q(x)$ is a polynomial, $r$ is an integer, and $d(x)$ is a linear polynomial. Simplify any fractions. $\newline$ _________

View step-by-step help

Home

Math Problems

Precalculus

Divide polynomials using synthetic division

Full solution

Q. Use synthetic division to find

(x^2 + 8x - 7) \div (x - 1)

\newline

Write your answer in the form

q(x) + \frac{r}{d(x)}

, where

q(x)

is a polynomial,

r

is an integer, and

d(x)

is a linear polynomial. Simplify any fractions.

\newline

_________

Set up synthetic division: Set up synthetic division with the root of the divisor $(x - 1)$ , which is $1$ , and the coefficients of the dividend $(x^2 + 8x - 7)$ , which are $1$ , $8$ , and $-7$ .
Perform synthetic division: Perform synthetic division: $\newline$ $1 | 1\ 8\ -7$ $\newline$ $|\ 1\ 9$ $\newline$ $------------$ $\newline$ $1\ 9\ 2$
Write result polynomial: Write the result of the synthetic division as a polynomial plus a remainder: $q(x) = x + 9$ and the remainder is $2$ .
Express result in form: Express the result in the form $q(x) + \frac{r}{d(x)}$ : $(x + 9) + \frac{2}{(x - 1)}$ .