Question

Find the factored form of x2 + 11x + 30.

» (x+6)(x-5)
» (x+6)(x+5)
» (x+10)(x+3)
» (x-10)(x-3)

irrelevant deleted​

Answer 1

(x+6)(x+5)

because the sum of 6+5 is 11x

and the multiplication of 6·5 is 30

Answer 2

2nd option

Explanation:

x² + 11x + 30

Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (+ 11)

The factors are + 6 and + 5 , since

6 × 5 = 30 and 6 + 5 = 11 , then

x² + 11x + 30 = (x + 6)(x + 5) ← in factored form