Question

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

Answer 1

Factor: `y = x^2 + 13x + 30`

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).