document.write( "Question 211810: I need help with two problem.
\n" ); document.write( "1.Can you give me an example of a polnomial and get its factors?
\n" ); document.write( "2.Can you factor this step by step? $\"x%5E2%2B8x%2B7\"$ \n" ); document.write( "

Algebra.Com's Answer #160038 by gypsy1274(9) $\"\"$ $\"About$

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1. Creating a polynomial is simple. Start with your factors.
\n" ); document.write( " $\"%28x-4%29+%28x%2B2%29\"$ you can use any numbers you want for this. At this point, you can choose the operation + or - that you want as well. To get the polynomial, just FOIL. (First, Inside, Outside, Last)
\n" ); document.write( "First: $\"x%2Ax=x%5E2\"$ ; Inside: $\"-4%2Ax=-4x\"$ ; Outside: $\"2%2Ax=2x\"$ ; Last: $\"-4%2A2=-8\"$
\n" ); document.write( "So, the expression is:
\n" ); document.write( " $\"x%5E2-4x%2B2x-8\"$
\n" ); document.write( "Combine like terms:
\n" ); document.write( " $\"x%5E2-2x-8\"$ This is a polynomial and the factors are the ones you started with.\r
\n" ); document.write( "\n" ); document.write( "2. $\"x%5E2%2B8x%2B7\"$
\n" ); document.write( "To factor, we are going to do the exact opposite of what we did in problem number 1. Your first two numbers have to multiply to be $\"x%5E2\"$ so there is only one choice. It must be x*x.
\n" ); document.write( "(x(-+)?) (x(-+)?)\r
\n" ); document.write( "\n" ); document.write( "Next, to get the last numbers we need to find what adds to be 8 and multiplies to be 7. Since 7 is a prime number, there is only one choice (1,7)
\n" ); document.write( "(x(-+)7) (x(-+)1)\r
\n" ); document.write( "\n" ); document.write( "Now choose the operation. In this case, 7+1=8 and 7*1=7 so we will use the + operation in both factors.
\n" ); document.write( "(x+7) (x+1)\r
\n" ); document.write( "
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