Question

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

Answer 1

Answer:

- 2$x^{6}$ + 7$x^{4}$ + 3x³ - 3x² + 11x + 20

Step-by-step 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