factor theorem?
Can someone please explain to me how you use the factor theorem?
posted by brianhorwich at 9:35 PM
Blog for students in Mr. Karafiol's Period 4 Precalculus BC class to talk about math, learning math, etc.
posted by brianhorwich at 9:35 PM
2 Comments:
So if you are given some giant ugly polynomial and you want to know if (x-a) is a factor where a is some number, you would plug a into the polynomial and if it is a root (otherwise known as a zero) of the equation, then it is a factor. It's a lot easier than long division and it comes in handy. An easy way to think about if it's true is to get a polynomial equation, you multiple(x-root) for all of the roots by each other and then you can multiply by some non zero coeficcient. So if a is a root than (x-a) has to be one of those factors..
If you get a large polynomial you can simply solve for the zeroes then check if the zero or zeroes of your possible factor polynomial or monomial match one or more of the zeroes of the entire equation
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