Question

Let f (x) = 1 - 3x + 4x3 and g(x) = 4 + 7x2. For f (x) · g(x), what is the coefficient of the x^3 term?А.-21B.-5C.7D.28E.16

Answer 1

Solve the product between the functions

`\begin{gathered} f(x)\cdot g(x)=(1-3x+4x^3)\cdot(4+7x^2) \\ =4-12x+16x^3+7x^2-21x^3+28x^5 \\ =4-12x+7x^2-5x^3+28x^5 \end{gathered}`

-5 is the coefficient of the x^3 term