Answer by Hao S for Why do we factor polynomials the way we do?
See fundamental theorem of algebra https://en.wikipedia.org/wiki/Fundamental_theorem_of_algebraNote over 2 variables or if you wish to factor over integers only this no longer holds
View ArticleAnswer by Neal for Why do we factor polynomials the way we do?
Perhaps you're noticing the streetlight effect:A policeman sees a drunk man searching for something under a streetlight and asks what the drunk has lost. He says he lost his keys and they both look...
View ArticleAnswer by Siong Thye Goh for Why do we factor polynomials the way we do?
Consider the polynomial $Ax^2+Bx+C$$$(ax+b)(cx+d)=acx^2+(bc+ad)x+bd$$Comparing the coefficients, $A=ac, C=bd$ and we want them to satisfies $bc+ad=B$.Hence we factor $A$ and $C$ and find factors such...
View ArticleWhy do we factor polynomials the way we do?
Today, I was working on some limit practice problems and came across two that I had to factor. The first limit had this polynomial in the denominator: $$x^2+2x-15$$which I factored down to:...
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