SOLUTION: Factor the polynomial as the product of factors that are irreducible over the real numbers. Then write the polynomial in completely factored form involving complex nonreal, or ima

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the polynomial as the product of factors that are irreducible over the real numbers. Then write the polynomial in completely factored form involving complex nonreal, or ima      Log On


   



Question 22131: Factor the polynomial as the product of factors that are irreducible over the real numbers. Then write the polynomial in completely factored form involving complex nonreal, or imaginary numbers.
x to the 4th power + 7x to the second power - 18

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
x%5E4+%2B+7x%5E2+-+18
%28x%5E2+-+2%29%28x%5E2+%2B+9%29 This is as far as we can go for part 1.
Factor completely:
x%5E4+%2B+7x%5E2+-+18
%28x%5E2+-+2%29%28x%5E2+%2B+9%29
%28x+%2B+sqrt%282%29%29%28x+-+sqrt%282%29%29%28x+%2B+3i%29%28x+-+3i%29