Question

What is the product of -2x^3+x-5 & x^3-3x-4
Please show all work and explain

Answer 1

- 2
`x^(6)` + 7
`x^(4)` + 3x³ - 3x² + 11x + 20

Explanation:

Given

(- 2x³ + x - 5)(x³ - 3x - 4)

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

- 2x³(x³ - 3x - 4) + x(x³ - 3x - 4) - 5(x³ - 3x - 4) ← distribute the 3 parenthesis

= - 2
`x^(6)` + 6
`x^(4)` + 8x³ +
`x^(4)` - 3x² - 4x - 5x³ + 15x + 20 ← collect like terms

= - 2
`x^(6)` +7
`x^(4)` + 3x³ - 3x² + 11x + 20