## Algebra 2 (1st Edition)

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