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

step-by-step explanation:

answers available in this download

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c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.