Question

Rewrite the given rational expression in the form q(x) + r(x)/b(x) where q(x) = quotient, r(x) = remainder, and b(x) = divisor.(x3 – x – 23)/(x + 1)- x2 –x(x2 – x)– 23/(x + 1)x2+ x(-x2 + x)– 23/(x + 1)

Answer 1

Given

`(x^3+2x^2+3x+2)/(x+1)`

To rewrite the expression using synthetic division.

Step-by-step explanation:

It is given that,

`(x^3+2x^2+3x+2)/(x+1)`

That implies,

Set x + 1 = 0.

Then, x = -1.

Therefore, by using synthetic division,

Hence, the expression is rewritten as,

`x^2+x+2`