document.write( "Question 371280: Multiply: (x-4)(x^2+3x+5) \n" ); document.write( "

Algebra.Com's Answer #264546 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28x-4%29%28x%5E2%2B3x%2B5%29\"$
\n" ); document.write( "When multiplying polynomials you multiply each term of one polynomial by each term of the other. Then you add like terms, if any. I find it helps avoid errors if subtractions are rewritten as additions of the opposite:
\n" ); document.write( " $\"%28x+%2B+%28-4%29%29%28x%5E2%2B3x%2B5%29\"$
\n" ); document.write( " $\"x%2Ax%5E2+%2B+x%2A3x+%2B+x%2A5+%2B+%28-4%29%2Ax%5E2+%2B+%28-4%29%2A3x+%2B+%28-4%29%2A5\"$
\n" ); document.write( "Multiplying out we get:
\n" ); document.write( " $\"x%5E3+%2B+3x%5E2+%2B+5x+%2B+%28-4%2Ax%5E2%29+%2B+%28-12x%29+%2B+%28-20%29\"$
\n" ); document.write( "Adding like terms:
\n" ); document.write( " $\"x%5E3+%2B+%28-1%2Ax%5E2%29+%2B+%28-7x%29+%2B+%28-20%29\"$
\n" ); document.write( "or
\n" ); document.write( " $\"x%5E3+-x%5E2+-7x+-20\"$ \n" ); document.write( "

\n" );