Answer
$g(x)=-2x^2+8x+42$
Work Step by Step
We use the FOIL method. Then we simplify until the equation is in the form $y=ax ^2+bx+c$.
Hence: $g(x)=-2(x+3)(x-7)=-2(x^2-7x+3x-21)=-2(x^2-4x-21)=-2x^2+8x+42$
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