Hello thisishard Originally Posted by

**thisishard** where did the right side come from?

The synthetic division you did, that gave the result 1 1 -6 0, means that when $\displaystyle x^3+6x^2-x-30$ is divided by $\displaystyle (x+5)$ the answer (the quotient) is $\displaystyle \color{red}(1)\color{black}x^2+\color{red}(1)\colo r{black}x\color{red}-6$ and the remainder is $\displaystyle \color{red}0$. In other words:$\displaystyle \frac{x^3+6x^2-x-30}{x+5} =x^2+x-6$

So:$\displaystyle x^3+6x^2-x-30=(x+5)(x^2+x-6)$

OK?

Grandad