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How Do You Simplify a Polynomial Over a Polynomial Using Opposite Binomial Factors?
Simplify the rational expression x2+4x-5 divided by 1-x2.
Summary
- Factor the numerator into (x+5)(x-1)
- -4 isn't in our trinomial, so we need to test new numbers
- The denominator is a different of perfect squares!
- We can replace the polynomials with their factored forms

Notes
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- The numerator is the trinomial x2+4x-5
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- The denominator is the binomial 1-x2
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- Replace each polynomial with the factorizations we've found
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- Factoring a -1 out of (1-x) in the denominator might help us out
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