Question

( 3X^2 - 5)( 4x^3 +7x + 2).

Answer 1

12
`x^(5)` + x³ + 6x² - 35x - 10

Explanation:

(3x² - 5)(4x³ + 7x + 2)

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

3x²(4x³ + 7x + 2) - 5(4x³ + 7x + 2) ← distribute parenthesis

= 12
`x^(5)` + 21x³ + 6x² - 20x³ - 35x - 10 ← collect like terms

= 12
`x^(5)` + x³ + 6x² - 35x - 10