Question

Factor the quadratic expression to reveal the zeroes of the function it defines
F(x) = x^2 + 14x + 40
I have no idea what I’m doing

Answer 1

Answer:

Below.

Step-by-step explanation:

This factors to the product of 2 binomials like (x + a)(x + b), where a and b are 2 numbers.

40 = 4 * 10 and 14 = 4 + 10 so the answer is

(x + 4)(x + 10).

If we expand this we will get back to the quadratic expression:

(x + 4)(x + 10)

= x(x + 10) + 4(x + 10)

= x^2 + 10x + 4x + 40

= x^2 + 14x + 40.