document.write( "Question 812929: (x4 − x2 + 3x − 10) ÷ (x + 5)
\n" ); document.write( "divide the polynomials by either long division or synthetic division. \n" ); document.write( "

Algebra.Com's Answer #489418 by jsmallt9(3758) $\"\"$ $\"About$

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Whether you use long or synthetic division, it is important to notice that there is no $\"x%5E3\"$ term in the dividend!

\n" ); document.write( " $\"%28x%5E4+-x%5E2+%2B+3x+-+10%29+%2F+%28x+%2B+5%29\"$
\n" ); document.write( "Since synthetic division is usually easier I choose to divide this way. Since synthetic division is designed to work with divisors in the form of (x - c) [where 'c' is some number], we must think of the x+5 as x-(-5):
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document.write( "-5 |    1   0   -1     3   -10\r\n" );
document.write( "----       -5   25  -120   585\r\n" );
document.write( "       ------------------------\r\n" );
document.write( "        1  -5   24  -117   575\r\n" );
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\n" ); document.write( "The number in the lower right, 575, is the remainder. The rest of the bottom line is the quotient. The quotient of \"1 -5 24 -117\" translates into: $\"x%5E3-5x%5E2%2B24x-117\"$ . So, after putting the remainder over the divisor, we get:
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