SOLUTION: I need help factoring out this equation: {{{9x^2+6x+1}}}

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Question 214885: I need help factoring out this equation: 9x%5E2%2B6x%2B1
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
I need help factoring out this equation: 9x%5E2%2B6x%2B1

Step 1. We need to find two integers m & n that their product is mn=ac=9 where a=9 and b=6 and their sum m+n=6.

Step 2. After trial an error the integers are m=n=3. Then based on the method of grouping where 6x=3x+3x based on the integers m & n, we have

9x%5E2%2B6x%2B1=%289x%5E2%2B3x%29%2B1%2A%283x%2B1%29
Step 3. Factoring 3x out of the first group we have

9x%5E2%2B6x%2B1=3x%2A%283x%2B1%29%2B1%2A%283x%2B1%29

Step 4. Now factor (3x+1) from both groups since it's common to both of them.

9x%5E2%2B6x%2B1=%283x%2B1%29%283x%2B1%29 ANSWER

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J