SOLUTION: x^3-8x^2+11x+20 i am to find the factorization of this polynomial

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Question 462870: x^3-8x^2+11x+20
i am to find the factorization of this polynomial
Found 2 solutions by MathLover1, Edwin McCravy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

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Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

x³ - 8x² + 11x + 20

The possible rational zeros are ± the factors of 20:

±1, ±2, ±4, ±5, ±10, ±20

We will start out trying 1

1 | 1 -8  11  20
  |    1  -7   4 
    1 -7   4  24

No, 1 is not a zero because we got a remainder
of 24, not 0.  So we will try -1

-1 | 1 -8  11  20
   |   -1   9 -20 
     1 -9  20   0

This time we got a zero remainder, so we have
factored 
 
x³ - 8x² + 11x + 20

as

(x + 1)(x² - 9x + 20)

The expression in the second parentheses will
factor again

(x + 1)(x - 4)(x - 5)

That's it.

Edwin
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