Question

A polynomial P is given.
P(x) = x4 + 32x2 + 256
(a) Factor P into linear and irreducible quadratic factors with real coefficients.
P(x) =

(b) Factor P completely into linear factors with complex coefficients.

Answer 1

(x²+a)(x²+b) = x⁴ + 32x² + 256

What multiplies to get 256 and adds to get 32? (hint, a=b)

Answer 2

@DDCamp \[(X^2+16)(X^2+16)\]