Polynomial functions, calculating zeros by factoring out Explained in an understandable way

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EZ-Mathe

Published on Nov 23, 2023
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It is explained in an understandable way how to calculate the zeros of polynomial functions by factoring out the variable. As with any calculation of zeros, the approach is to use zero for f(x) or y. The function term must then be rewritten as part of the zero calculation so that the variable is written as a factor in front of a bracket. The actual function term now goes into the bracket, but divided by what is being factored out, i.e. divided by the variable. It is important that the variable with the smallest exponent is always factored out, so that not always x, but possibly also x^2 or higher, has to be factored out. If you have now written down the term with the factored out variable, it follows that a zero is already at x=0 (more detailed explanation in the video). Then you just set the term inside the brackets to zero and solve the corresponding equation using a known and applicable method. I will explain the topic to you in an understandable way using two example tasks.

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