SOLUTION: Please help, factor by grouping, if possible and check: {{{ 10x^3-25x^2+2x-5 }}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help, factor by grouping, if possible and check: {{{ 10x^3-25x^2+2x-5 }}}      Log On


   

Question 37672This question is from textbook Elementary Algebra
: Please help, factor by grouping, if possible and check:
+10x%5E3-25x%5E2%2B2x-5+ This question is from textbook Elementary Algebra

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, let me show you how...from
10x^3 - 25x^2 + 2x - 5
let us group the terms this way
(10x^3 - 25x^2) + (2x - 5)
Now from the first group we can factor out 5x^2 and get
5x^2(2x - 5) + (2x - 5)
Now we factor out 2x - 5 from both and get the final answer
(2x - 5)(5x^2 + 1)