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.

Option A, E ,F are correct

Step-by-step 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

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