Practice!

Sample Problem

Factor out the GCF, then factor the following perfect square trinomial

3x2 + 30x + 75 = (x + )2

Solution

3x2 + 30x + 75

=3(x2 + 10x + 25)

=3(x2 + 2(x × 5) + 52)

=3(x + 5)2