Answer:
16x⁴+16x³-32x-16. None of the options are correct
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
