Find the constant necessary to make a perfect square trinomial. Find the constant necessary to make a perfect square trinomial. A. B. C. D.

64

Explanation:

The question is incomplete without the expression that would be used to find the constant necessary to make a perfect square trinomial.

I would show you how to find the constant necessary to make a perfect square trinomial using the expression below:

x² - 16x + c

The expression above is in the form of a quadratic: ax² + bx + c

Where a = 1, b = -16, c = constant

First thing we do, is to square half the coefficient of x

Coefficient x above = b = -16

square of half the coefficient of x = (-16/2)²

Expand it, we have = -16/2 × -16/2 = 8×8 = 64

Replace the constant with 64

x² - 16x + 64

b/2 = -16/2 = -8

(x - 8)² will give a perfect square trinomial

Therefore the constant which makes the above expression a perfect square trinomial is 64

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