Difference between revisions of "Polynomial Remainder Theorem"

Revision as of 15:58, 3 September 2021

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-==Statement==
+#REDIRECT[[Polynomial remainder theorem]]
-The [[Polynomial]] Remainder Theorem states that for <math>\frac{f(x)}{x-a}</math> the [[remainder]] is <math>f(a)</math>
-==Proof==
-Assuming <math>r</math> = remainder <math>q(x)</math> = quotient and <math>f(x)</math> as a polynomial:
-<math>f(x)=q(x)(x-a)+r</math>
-If we plug in <math>a</math> into the polynomial <math>f(x)</math> and <math>x-a</math> (Do not plug <math>a</math> into <math>q(x)</math>. Assume <math>q(x)</math> as only a variable for quotient) we get:
-<math>f(a)=r</math>
-==See Also==
-[[Category:Theorems]]