Use the Intemediale Walue Theorem to show that the polynomial f(x) \( =2 x^{4}-7 x^{2}+1 \) has a real zero between -1 and 0. Select the conect choice below and fill in the answer bowes to complete your choice. A. Because f(x) is a polynomial with f( -1 )= \( \square \) \( <0 \) and \( f(0)= \) \( \square \) \( >0 \), the function has a real zero between -1 and 0. B. Because f(x) is a polynomial with fi( -1 )= \( \square \) \( >0 \) and \( 7(\mathrm{D})= \) \( \square \) \( >0 \), the function has a real zero between -1 ando. C. Because f(x) is a potynomial with \( f(-1)= \) \( \square \) \( <0 \) and \( f(0)= \) \( \square \) \( <0 \), the funcion has a real zero between -1 and 0. D. Because \( ( \) (a) is a polynomial with \( \mathrm{f}(-1)= \) \( \square \) \( >0 \) and \( F(0)= \) \( \square \) \( <0 \), the function has a real zero between - 1 and 0.