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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 ?
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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
User Michael Bruce
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1 Answer

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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
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