Menu Close

factor-the-expression-E-x-5-x-4-1-

Tinku Tara 0 Comments
Pin




Question Number 50924 by Saorey last updated on 22/Dec/18
factor the expression: E=x^5 +x^4 +1
factortheexpression:E=x5+x4+1
Answered by math1967 last updated on 22/Dec/18
x^5 −x^2 +x^4 +x^2 +1 =x^2 (x^3 −1)+{(x^2 +1)^2 −2x^2 +x^2 } =x^2 (x−1)(x^2 +x+1)+(x^2 +1)^2 −x^2 =x^2 (x−1)(x^2 +x+1)+(x^2 +x+1)(x^2 −x+1) =(x^2 +x+1)(x^3 −x^2 +x^2 −x+1) =(x^2 +x+1)(x^3 −x+1) ans
x5−x2+x4+x2+1=x2(x3−1)+{(x2+1)2−2x2+x2}=x2(x−1)(x2+x+1)+(x2+1)2−x2=x2(x−1)(x2+x+1)+(x2+x+1)(x2−x+1)=(x2+x+1)(x3−x2+x2−x+1)=(x2+x+1)(x3−x+1)ans

Pin

Leave a Reply

Your email address will not be published. Required fields are marked *