SOLUTION: factor: 3ax(2)-42a+15ax ...the x is to the 2nd power. thats why there is ( ) around it..Thank you for helping!

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Question 120738: factor: 3ax(2)-42a+15ax ...the x is to the 2nd power. thats why there is ( ) around it..Thank you for helping!
Found 2 solutions by edjones, nabla:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
3ax^2+15ax-42a
=3a(x^2+5x-14)
=3a(x+7)(x-2)
.
Ed

Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
First of all, notice what each term has in common:
a multiple of 3a
factor that out: %283a%29%28x%5E2-14%2B5x%29=%283a%29%28x%5E2%2B5x-14%29
For factoring x%5E2%2B5x-14, we list the possible numbers that multiply to 14:
1, 2, 7, 14.
Which two of these, when taking one negative, add to get +5? -2 and +7!
Thus, x%5E2%2B5x-14 factors to %28x%2B7%29%28x-2%29, which makes the final expression:
3a%28x%2B7%29%28x-2%29