Factoring Polynomials - EASY METHOD ????

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Math for All

Published on Nov 25, 2016
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Learn HOW TO FACTOR POLYNOMIALS. In this episode of math4all I explain WHAT METHOD you should apply to factor polynomials. 0:00 Intro 1:59 Notable identities 2:47 Ruffini's method 5:33 Second degree equation To factor polynomials, I propose the following instructions: 1-Notable identities 2-Degree 2: Second degree equation 3-Degree greater than 2: Ruffini You must follow this strategy in the order it is, being a priority to use the notable identities first, which are the following: NOTABLE IDENTITIES -Common factor -Difference of squares = Sum by difference -Square first + square second + double first times second = binomial squared Once the notable identities have been applied, the next step is to see if the polynomial is of degree 2 or greater. If it is of degree 2 we set it equal to 0 and solve the second degree equation to obtain the roots. Once the roots are calculated you have to express the factorization using these roots. If instead the polynomial is of degree greater than 2 you apply Ruffini to extract the different roots until the quotient polynomial is of degree 2 (which we will solve again using notable identities or if not possible using the second degree equation) and we will express the factorization using all the calculated roots (In the case of the second degree equation we will multiply once we express the factorization with the roots do not forget to multiply by the coefficient of the x squared if there is one). Welcome to the wonderful world of polynomial factorization!

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