Question

P(x)=g^2 + 10g + 25 & Q(x)=g + 5 What is P(x)•Q(x)

Answer 1

Given:
P(x)=g^2 + 10g+25
Q(x)=g + 5
So P(x) x Q(x)=(g^2 +10g+25)(g+5)
=g^3+5g^2+10g^2+50g+25g+125
Add like terms
=g^3+15g^2+75g+125
Which is equal to (g+5)^3

Answer: P(x) x Q(x)=(g+5)^3