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

Answer:
[tex]-5x^3-11x^2-8x-16[/tex]
Step-by-step explanation:
[tex]f(x)=-5x+4[/tex]
[tex]g(x)=x^2+3x-4[/tex]
[tex]f(x)*g(x)=(-5x+4)(x^2+3x-4)[/tex]
[tex]=(-5x)(x^2)+(-5x)(3x)+(-5x)(4)+(4)(x^2)+(4)(3x)+(4)(-4)[/tex]
[tex]=-5x^3-15x^2-20x+4x^2+12x-16[/tex]
[tex]=-5x^3-11x^2-8x-16[/tex]