# Can #y=x^2+13x+30 # be factored? If so what are the factors ?

##### 1 Answer

Dec 6, 2015

Factor:

Ans: (x + 3)(x + 10).

#### Explanation:

Find 2 numbers knowing sum (b = 13) and product (c = 30) by composing factor pairs of (30). The 2 numbers have same sign (Rule of Sign).

Factor pairs --> (2, 15)(3, 10). This sum is 13. Therefor, the 2 numbers are 3 and 10.

Factored form: y = (x + 3)(x + 10).