SOLUTION: Factor Each expression: x^3 +x^2 -x -1

Algebra.Com
Question 119398: Factor Each expression:
x^3 +x^2 -x -1

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given expression

Group like terms


Factor out the GCF out of the first group. Factor out the GCF out of the second group


Since we have the common term , we can combine like terms


Now factor by using the difference of squares



Multiply



So factors to

RELATED QUESTIONS

Factor the expression completely: x^3(x-3)^2 (x-1) -... (answered by jsmallt9)
factor each expression completely... (answered by Alan3354)
factor each expression: x^3 +... (answered by jim_thompson5910,checkley71)
Factor each expression: 5y^3+15y^2+2y+6 ;... (answered by RAY100)
Completely factor the expression... (answered by Alan3354)
Factor each expression. 1. 216x^3 – 1 2. 8x^3 + 125 3. x^4 – 5x^2 + 4 Please... (answered by Earlsdon)
Factor each expression completely. 1. -3x^2+21x 2. x^2-16 3. x^2-10x+24 4.... (answered by MathLover1)
factor and simplify algebraic expression... (answered by rothauserc)
Factor the expression: x^3 + 4x^2 + x + 4 (answered by rapaljer)