SOLUTION: Factor f(x)= x^3 -2x^2 -19x+20 completely given 5 is a zero.

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Question 1155805: Factor f(x)= x^3 -2x^2 -19x+20 completely given 5 is a zero.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x^3-2x^2-19x+20
(x-5) works
synthetic division
5/1--- -2--- -19--- 20
1---- 3---- -4--- 0
so the other factor is (x^2+3x-4), and that factors into (x+4)(x-1)
(x-5)(x-1)(x+4)

graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E3-2x%5E2-19x%2B20%29