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

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asked Jun 3, 2019 154k views

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Jin Kim · Answer 1 · 2019-06-08T10:51:21+0000

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

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

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