Question

If m(x)=x2+3 and n(x) =5x+9 which expression is equivalent to (mn)(x)

Answer 1

A: 5
`x^(3)` + 9
`x^(2)` + 15x + 27

Explanation:

Answer 2

mn(x) = 5x³ + 9x² + 15x + 27

Explanation:

mn(x) = m(x) × n(x)

mn(x) = (x² + 3)(5x + 9)

We can evaluate this expression by using the FOIL method.

First terms: x² × 5x = 5x³

Outer terms: x² × 9 = +9x²

Inner terms: 3 × 5x = +15x

Last terms: 3 × 9 = +27

mn(x) = 5x³ + 9x² + 15x + 27