Find a polynomial with the given zeros.
E)none of these

Question

Find a polynomial with the given zeros. 
E)none of these

Quizplus · Accepted Answer

The polynomial with the given zeros must have factors of (x - 11eb80b1_b06f_1a5d_a291_8b16fb687b00_TB8633_11) and (x - conjugate of 11eb80b1_b06f_1a5d_a291_8b16fb687b00_TB8633_11). Since the given zero is a complex number with an imaginary part, its conjugate will also be a zero. Thus, the polynomial must have two factors of the form (x - 11eb80b1_b06f_1a5d_a291_8b16fb687b00_TB8633_11) and (x - conjugate), giving a quadratic with real coefficients. The only answer choice that fits this description is C, which has (x - 11eb80b1_b06f_1a5d_a291_8b16fb687b00_TB8633_11) and (x - 11eb80b1_b06f_1a60_a291_4b336273d0e9_TB8633_11) as factors.

Find a Polynomial with the Given Zeros