Use the Intermediate Value Theorem to show that the following function has a zero in the given interval. Approximate the zero correct to two decimal places.
f(x) = 4x^4 - 5x^2 + 7x - 2; [0, 1]
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Part 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
The polynomial has a real zero on the given interval because f(0) > 0 and f(1) < 0.
B.
The polynomial has a real zero on the given interval because f(0) and f(1) are both positive.
C.
The polynomial has a real zero on the given interval because f(0) and f(1) are both negative.
D.
The polynomial has a real zero on the given interval because f(0) < 0 and f(1) > 0.
Your answer is correct.
Part 2
The zero truncated to two decimal places is
enter your response here.