Question

Multiply the given polynomials. Answers should be simplified and written in standard form.

(3x+5)(x²+8x-10)

Answer 1

Answer: 3x³+29x²+10x-50.

Explanation:

`(3x+5)*(x^2+8x-10)=\\3x*(x^2+8x-10)+5*(x^2+8x-10)=\\3x^3+24x^2-30x+5x^2+40x-50=\\3x^3+29x^2+10x-50.`

Answer 2

3x³ + 29x² + 10x - 50

Explanation:

(3x + 5))(x² + 8x - 10)

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

3x(x² + 8x - 10) + 5(x² + 8x - 10) ← distribute parenthesis

= 3x³ + 24x² - 30x + 5x² + 40x - 50 ← collect like terms

= 3x³ + 29x² + 10x - 50