SOLUTION: Please help, I cannot understand the examples in the book. Here is the question: Factor each polynomial by grouping the first two terms and the last two terms. x^5+x^3-2x^2-2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help, I cannot understand the examples in the book. Here is the question: Factor each polynomial by grouping the first two terms and the last two terms. x^5+x^3-2x^2-2       Log On


   

Question 105167: Please help, I cannot understand the examples in the book.
Here is the question:
Factor each polynomial by grouping the first two terms and the last two terms.
x^5+x^3-2x^2-2
Thank you.
Marco
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E5%2Bx%5E3-2x%5E2-2 Start with the given expression


%28x%5E5%2Bx%5E3%29%2B%28-2x%5E2-2%29 Group the terms into two groups


x%5E3%28x%5E2%2B1%29-2%28x%5E2%2B1%29 Factor out the GCF out of each group


%28x%5E3-2%29%28x%5E2%2B1%29 Combine like terms