SOLUTION: Find the LCM of x^2 +6x-7 and x^2 +5x - 14

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Question 241144: Find the LCM of x^2 +6x-7 and x^2 +5x - 14
Answer by vleith(2517) About Me  (Show Source):
You can put this solution on YOUR website!
Don't let the algebra fool you. These LCM problems are done the same way you did them in arithmetic.
1)Find the prime factors in each term
2)Find which prime factor is used more times in each term
3)Collect all of most used prime factors
4)Multiply it all out
+x%5E2+%2B6x-7 = %28x%2B7%29%28x-1%29
x%5E2+%2B5x+-+14 = %28x%2B7%29%28x-2%29
So there are three different prime factors, each used once.
Collect them
%28x%2B7%29%28x-1%29%28x-2%29
%28x%5E2+%2B6x-7%29%28x-2%29
Now multiply and simplify and you're done