Question

What is the product of the polynomials below (7x^3+4x)(x^2+2)

Answer 1

7
`x^(5)` + 18x³ + 8x

Explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

7x³(x² + 2) + 4x(x² + 2) ← distribute both parenthesis

= 7
`x^(5)` + 14x³ + 4x³ + 8x ← collect like terms

= 7
`x^(5)` + 18x³ + 8x