SOLUTION: Keller performed the work below to express the polynomial in factored form: r(x) = x4 - 8x2 - 9 r(x) = (x2 + 1)(x2 - 9) (x) = (x + 1)(x - 1)(x + 3)(x - 3) Explain

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Question 1182006: Keller performed the work below to express the polynomial in factored form:
r(x) = x4 - 8x2 - 9
r(x) = (x2 + 1)(x2 - 9)
(x) = (x + 1)(x - 1)(x + 3)(x - 3)
Explain the error he made and complete the factorization correctly.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
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to express the polynomial in factored form:
r(x) = x4 - 8x2 - 9
r(x) = (x2 + 1)(x2 - 9)
(x) = (x + 1)(x - 1)(x + 3)(x - 3)
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-9 and +1 ?


Recognize the Difference Of Squares. That is the factor containing the ; not the other factor.


Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

Keller performed the work below to express the polynomial in factored form:
r(x) = x4 - 8x2 - 9
r(x) = (x2 + 1)(x2 - 9)
(x) = (x + 1)(x - 1)(x + 3)(x - 3)
Explain the error he made and complete the factorization correctly.
x + 1 and x - 1 are NOT factors of x2 + 1. 

Having said that, can you now provide the correct factorization? 

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