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15 February, 14:05

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

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  1. 15 February, 15:59
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    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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