Question

Let f (x) = 8x^2 + 4 and g(x) = -x^2+ 12x + 10. Which statements below are true for f (x) · g(x)? Select all that apply.

A.The constant term is 40.
B.The leading term is 8x^4.
C.The x term has a coefficient of 12.
D.The x^2 term has a coefficient of -76.
E.The x^3 term has a coefficient of 96.
F.The resulting polynomial has degree 4.

Answer 1

Option A, E ,F are correct

Explanation:

f(x).g(x)=(8x^2+4)(-x^2+12x+10)

=(-8x^4+96x^3+80x^2-4x^2+48x+40)

= -8x^4+96x^3+76x^2+48x+40

Leading term is -8x^4. The x term has coefficient 48. The x^2 term has coefficient +76