Question

z^2+3z-10factor each polynomial completely. If a polynomial is prime, state this.

Answer 1

We notice that:

$\begin{gathered} 5+(-2)=3 \\ 5\cdot(-2)=10 \end{gathered}$

Therefore, we can factor the given equation as follows

$z^{2}+3z-10=(z-2)(z+5)$