. P(x) = x4 + 64x2 (a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) x = (b) Factor P completely. P(x) =

Question

A polynomial P is given.

P(x) = x⁴ + 64x²

(a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)

x =

(b) Factor P completely.

P(x) =

Answer 1

(a) & (b) P(x) = x⁴ + 64x² = x²(x²+64) = 0, x= 0, x = ± 8i