Question

What is the product of the polynomials below? (4x^2-2x-4)(2x+4)

Answer 1

Answer: 8x³ + 12x² - 16x - 16

Explanation:

(4x² - 2x - 4)(2x + 4)

= (2x + 4)(4x² - 2x - 4)

= 2x(4x² - 2x - 4) + 4(4x² - 2x - 4)

= 8x³ - 4x² - 8x + 16x² - 8x - 16

= 8x³ + (-4x² + 16x²) + (-8x - 8x) - 16

= 8x³ + 12x² - 16x - 16