7. Use the Intermediate Value Theorem to show that the polynomial

f(x)=4x⁴8x²+2 has a real zero between 1 and 0.

Select the correct choice below and fill in the answer boxes to complete your choice.

A. Because f(x) is a polynomial with

f(1)=______>0 and f(0)=__________<0, the function has a real zero between 1 and 0.

B. Because f(x) is a polynomial with

f(1)=_________<0 and f(0)=___________>0, the function has a real zero between 1 and 0.

C. Because f(x) is a polynomial with

f(1)=_________>0 and f(0)=___________>0, the function has a real zero between 1 and 0.

D. Because f(x) is a polynomial with

f(1)=_________<0 and f(0)=___________<0, the function has a real zero between 1 and 0.