Question

F(x) = 4x – 2
g(x) = -3x2 – 7x + 4
Find: f(x) · g(x)

HeLP

Answer 1

`\large\boxed{f(x)\cdot g(x)=-12x^3-28x^2+30x-8}`

Explanation:

`f(x)=4x-2\\\\g(x)=-3x^2-7x+4\\\\f(x)\cdot g(x)=(4x-2)\cdot(-3x^2-7x+4)\\\\\text{Use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\\\\f(x)\cdot g(x)=(4x)(-3x^2)+(4x)(-7x)+(4x)(4)\\+(-2)(-3x^2)+(-2)(-7x)+(-2)(4)\\\\f(x)\cdot g(x)=-12x^3-28x^2+16x+6x^2+14x-8\\\\\text{Combine like terms}\\\\f(x)\cdot g(x)=-12x^3+(-28x^2+6x^2)+(16x+14x)-8\\\\f(x)\cdot g(x)=-12x^3-28x^2+30x-8`