factoring polynomials?


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When 3x2-9x + 3 is factored, the result is 3(x2-3x + 1).  why it is necessary to include the term 1 in this factored form?

Jul 28th, 2015

Thank you for the opportunity to help you with your question!

3x^2-9x+3

=3x^2-3*3x+3*1

=3(x^2-3x+1)      we take 3 out from all the terms.

Last term is product of 3 and 1. When 3 is taken out, 1 is left.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 28th, 2015

why does the one have to be included though? 

Jul 28th, 2015

As mentioned above, 3 can be written as product of 3 and 1. We are taking 3 out and 1 is left. Hence, i is to be included inside the bracket as given below.

3x^2-9x+3

=3x^2-3*3x+3*1

=3(x^2-3x+1)

Jul 28th, 2015

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Jul 28th, 2015
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