Question

Determine the resulting polynomial

f(x) = -5x +4
g(x) = x^2 + 3x - 4
Find: f(x) · g(x)

Answer 1

`-5x^3-11x^2-8x-16`

Explanation:

`f(x)=-5x+4`

`g(x)=x^2+3x-4`

`f(x)*g(x)=(-5x+4)(x^2+3x-4)`

`=(-5x)(x^2)+(-5x)(3x)+(-5x)(4)+(4)(x^2)+(4)(3x)+(4)(-4)`

`=-5x^3-15x^2-20x+4x^2+12x-16`

`=-5x^3-11x^2-8x-16`