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27 September, 23:31

If (4x-7) 2=ax2+bx+c for all values of x, what is the value of c (b+a) ?

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  1. 28 September, 03:25
    0
    -1960

    Step-by-step explanation:

    The expression on the left expands to ...

    (4x - 7) ² = (4x) ² + 2 (4x) (-7) + (-7) ² = 16x² - 56x + 49

    Matching coefficients, you have ...

    a = 16 b = - 56 c = 49

    Then the expression c (b+a) evaluates to ...

    49 (-56+16) = 49 (-40) = - 1960
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