P(x) = x^5 + 4x^3 a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) (b) Factor P completely. ---------------------------------------------------------------------------------------------------- Q2: A polynomial P is given. P(x) = x^4 − 256 a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) b) Factor P completely.
= x^3 (x^2+4) = x^3 (x+2i)(x-2i) x^4 - 256 = (x^2-16)(x^2+16) = (x-4)(x+4)(x-4i)(x+4i)
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