Question

I can’t figure this out. Getting different answer than listed. Please help with attached pic.

Answer 1

Solution

We are required to use synthetic division to rewrite the expression

$(x^3+6x^2-5)\div(x+2)$

The synthetic division is shown below

Re-write the result in polynomial form

$=x^2+4x-8+\frac{11}{x+2}$

The answer is

$=x^2+4x-8+\frac{11}{x+2}$