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Factoring Polynomials

Factor the polynomial completely
t^2 - 9w^2

10a^2 + ab - 2b^2

z^4 - 81

Factor each completely given that the binomial following it is a factor of the polynomial

x^3 - 4x^2 - 3x - 10, x - 5

Solution Preview

factor the polynomial completely
1) t^2 - 9w^2

Solution. We can use a formula for the square difference: a^2-b^2=(a+b)(a-b). Let a=t and b=3w. Then we have
t^2 - 9w^2
=t^2-(3w)^2
=(t+3w)(t-3w)

2) 10a^2 + ab - 2b^2

Solution. ...

Solution Summary

A polynomial is factored.

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