What is the product of the polynomials below? (8x2 - 4x-8)(2x2+3x+2)

A. 16x4+16X9 - 12x2 - 32x – 16

B. 16x4 + 16x2 - 12x2 - 16x-6

C. 16x4 +16X - 12x2 - 32x-6

D. 16x4 +16x2 - 12x2 - 16x-16

Step-by-step explanation:

Given the polynomial function (8x² - 4x-8)(2x²+3x+2). To take the product of both quadratic polynomial, we will need to simply open up the bracket as shown;

= 8x²(2x²+3x+2) - 4x(2x²+3x+2) - 8(2x²+3x+2)

= (16x⁴+24x³+16x²) -(8x³+12x²+8x)-(16x²+24x+16)

Open up the parenthesis

= 16x⁴+24x³+16x² - 8x³-12x²-8x- 16x²-24x-16

Collect the like terms

= 16x⁴+24x³- 8x³+16x² - 16x²-8x-24x-16

= 16x⁴+16x³-32x-16

1696 hundred thousand

step-by-step explanation:

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative