document.write( "Question 404640: how do i find the product? {x^2-x+5} {4x^2-2x-1}\r
\n" ); document.write( "\n" ); document.write( "my guess\r
\n" ); document.write( "\n" ); document.write( "x^2(4x^2) - x(-2x) 5(1)\r
\n" ); document.write( "\n" ); document.write( "4x^4-2x-5-\r
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Algebra.Com's Answer #285953 by jsmallt9(3758)\"\" \"About 
You can put this solution on YOUR website!
\"%28x%5E2-x%2B5%29%284x%5E2-2x-1%29\"
\n" ); document.write( "To multiply polynomials, you multiply each term of one polynomial by each term of the other polynomial. Then, if there are like terms, you add/subtract the like terms. With 3 terms in both polynomials, we are going to do 9 multiplications!

\n" ); document.write( "Before we start, I like to change the subtractions, if any, into additions of the opposite because there are many advantages to having everything an addition:
\n" ); document.write( "\"%28x%5E2%2B+%28-x%29+%2B5%29%284x%5E2%2B+%28-2x%29+%2B+%28-1%29%29\"
\n" ); document.write( "Now we'll start multiplying:
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\n" ); document.write( "Adding the like terms:
\n" ); document.write( "\"4x%5E4+%2B+%28-6x%5E3%29+%2B+21x%5E2+%2B+%28-9x%29+%2B+%28-5%29\"

\n" ); document.write( "P.S. In response to your thank you note...
\n" ); document.write( "The -9x comes from adding the \"x\" and -10x.
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