SOLUTION: Write the polynomial f(x)=x^4+9x^3+29x^2+81x+180 in factored form.

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Question 1127878: Write the polynomial f(x)=x^4+9x^3+29x^2+81x+180 in factored form.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Rational Roots theorem will give several possible roots to check. You could expect that -4 and -5 will be roots. Try checking these using synthetic division and see what you find!

-4, --------------- 1, 5, 9, 45, 0

-5, -------------- 1, 0, 9, 0

f%28x%29=%28x%2B4%29%28x%2B5%29%28x%5E2%2B9%29