SOLUTION: Please help me solve this problem 2x^2-14x+3x-21

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me solve this problem 2x^2-14x+3x-21      Log On


   

Question 199786: Please help me solve this problem 2x^2-14x+3x-21
Found 2 solutions by jim_thompson5910, RAY100:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming you want to factor 2x%5E2-14x%2B3x-21


2x%5E2-14x%2B3x-21 Start with the given expression


%282x%5E2-14x%29%2B%283x-21%29 Group like terms


2x%28x-7%29%2B3%28x-7%29 Factor out the GCF 2x out of the first group. Factor out the GCF 3 out of the second group


%282x%2B3%29%28x-7%29 Since we have the common term x-7, we can combine like terms


So 2x%5E2-14x%2B3x-21 factors to %282x%2B3%29%28x-7%29



If you have any questions, email me at jim_thompson5910@hotmail.com.
Check out my website if you are interested in tutoring.

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
when there are four terms, try factoring by grouping
.
2x^3 -14x +3x -21
.
2x (x-7) +3(x-7},,,,,,like ab +cb= (a+c)b ,,,but b=(x-7)
.
(2x+3) (x-7)
.
check by subst x=1 in original and answer, ok