Question

Factore each trinomial. If the trinomial cannot be factored, write, prime.1) x^2+10x+92) x^2-6x-273) x^2+14x-32

Answer 1

$\begin{gathered} 1) \\ x^2+10x+9 \end{gathered}$

The factors of 9 that sum to 10 are 9 and 1, so:

$x^2+10x+9=(x+1)(x+9)$

2)

$x^2-6x-27$

The factors of -27 that sum to -6 are 3 and -9, so:

$x^2-6x-27=(x+3)(x-9)$

3)

$x^2+14x-32$

The factors of -32 that sum to 14 are 16 and -2, so:

$x^2+14x-32=(x+16)(x-2)$