154k views
4 votes
What value of c makes x^2 + 6x + c a perfect square trinomial ?

What value of c makes x^2 + 6x + c a perfect square trinomial ?-example-1

1 Answer

4 votes
The perfect square (x +a)^2 expands to the trinomial x^2 +2ax +a^2

The constant (a^2) is the square of half the x-coefficient.

Your x-coeffficient is 6, so your constant c will be
c = (6/2)^2 = 9 . . . . . . the 3rd choice is appropriate
User Jin Kim
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories