SOLUTION: Factoring Polynomials -
Please factor the following:
w4 - 8w2 - 9
Algebra.Com
Question 131936: Factoring Polynomials -
Please factor the following:
w4 - 8w2 - 9
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I presume you meant
Let , then substitute:
and , so the factors of are:
but , so two of the factors of are:
The first of these factors is the difference of two squares and factors directly to:
For the other factor, we need to use the fact that is a zero of a single variable polynomial in x if and only if is a factor of the polynomial.
So, solve
=> or where , therefore the two factors of are
In summary:
If you were only supposed to factor over the real numbers, then your answer would be:
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