Use the Intermediate Value Theorem to show that the polynomial

f(x)=2x49x2+2

has a real zero between

2

and

0.

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Part 1

Select the correct choice below and fill in the answer boxes

A.

Because f(x) is a polynomial with

f(2)=enter your response here>0

and

f(0)=enter your response here<0,

the function has a real zero between

2

and

0.

B.

Because f(x) is a polynomial with

f(2)=enter your response here<0

and

f(0)=enter your response here>0,

the function has a real zero between

2

and

0.

C.

Because f(x) is a polynomial with

f(2)=enter your response here<0

and

f(0)=enter your response here<0,

the function has a real zero between

2

and

0.

D.

Because f(x) is a polynomial with

f(2)=enter your response here>0

and

f(0)=enter your response here>0,

the function has a real zero between

2

and

0.