Question

Find a value for b so that the polynomial x^2+ bx + 25 factors to (x + 5)^2.

Answer 1

10 = b

Explanation:

Begin by expanding (x + 5)^2

(x + 5)(x + 5)

First: x*x = x^2

Outside: x * 5 (the last term which is a 5)

Inside: 5+ x

Last: 5*5 = 25

x^2 + 5x + 5x + 25

x^3 + 10x + 25