SOLUTION: Show how to factor and solve this polynomial function: f(x)= -x(squared) +24x + 180

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Question 1007393: Show how to factor and solve this polynomial function:
f(x)= -x(squared) +24x + 180

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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Show how to factor and solve this polynomial function:
f(x)= -x(squared) +24x + 180
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Factorization is as follows:

f(x) = -x%5E2+%2B+24+%2B+180 = -%28x%5E2+-+24x+-+180%29 = -%28x%2B6%29%2A%28x-30%29.

If you want to solve the polynomial equation

-x%5E2+%2B+24+%2B+180 = 0,

you can replace it by the equivalent factored equation 

-%28x%2B6%29%2A%28x-30%29 = 0.

Its roots are x = -6 and x = 30.