Question

Given that f(x) = x² + 3x – 40 and g(x) = x – 5, find f(x) · g(x) and express the result in standard form .

Answer 1

To find f(x)*g(x) multiply the expressions given for each function:

`f(x)\cdot g(x)=(x^2+3x-40)(x-5)`
`\begin{gathered} (x^2+3x-40)(x-5) \\ x^3-5x^2+3x^2-15x-40x+200 \\ x^3-2x^2-55x+200^{} \end{gathered}`

The answer is already in standard form because its terms are ordered from the greatest power of x to the lowest one.