Question

0=x^2+13x-30 Not sure what it’s asking?

Answer 1

The factorization of this polynomial would be 0 = (x - 2)(x + 15)

In order to find it, we must look for factors of the last number (-30) that add up to the middle number (13). To do this, first list all the factors of -30.

1 and -30

-1 and 30

2 and -15

-2 and 15

3 and -10

10 and -3

5 and -6

-5 and 6

When you consider all of these factors, you can see only one of them adds up to 13 (-2 and 15). As a result, you place each of those numbers in a parenthesis with an x and multiply them together.

0 = (x - 2)(x + 15)

Answer 2

$0=x^2+13x-30\\ x^2-2x+15x-30=0\\ x(x-2)+15(x-2)=0\\ (x+15)(x-2)=0\\ x=-15 \vee x=2$