SOLUTION: A polynomial P is given. P(x) = x^4 + 18x^2 + 81 (a) Factor P into linear and irreducible quadratic factors with real coefficients. (b) Factor P completely into linear factors w

Question 1185631: A polynomial P is given.
P(x) = x^4 + 18x^2 + 81
(a) Factor P into linear and irreducible quadratic factors with real coefficients.
(b) Factor P completely into linear factors with complex coefficients.

Find all zeros of the polynomial. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
P(x) = 16x^4 + 16x^3 + 20x^2 + 16x + 4
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

A polynomial P is given.

(a) Factor P into linear and irreducible quadratic factors with real coefficients.
....write as and as
.....recognize square of the sum

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

.............

Find all zeros of the polynomial. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)

.....group

.........=> =>

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