Question

question
factor completely.
$-3x^{2}+45x - 78$
answer
attempt 1 out of 2

Explanation:

Step1: Factor out -3

$-3(x^{2}-15x + 26)$

Step2: Factor the quadratic inside

We need to find two numbers that multiply to 26 and add up to -15. The numbers are -2 and -13. So we can write $x^{2}-15x + 26=(x - 2)(x - 13)$.

Answer:

$-3(x - 2)(x - 13)$