# Is it possible to factor y= x^3-3x^2+x-55 ? If so, what are the factors?

May 28, 2016

y = (x - 5)(x^2 + 2x + 11)

#### Explanation:

Because the last term is 55, then we try the root x = 5
y(5) = 125 - 75 + 5 - 55 = 0.
Then, a factor is (x - 5)
After division -->$y = \left(x - 5\right) \left({x}^{2} + 2 x + 11\right)$
The trinomial in parentheses can't be factored because its D < 0.