document.write( "Question 370734: using synthetic division divide (5x^3+6x+8) by (X+2) \n" ); document.write( "

Algebra.Com's Answer #264533 by jsmallt9(3758) $\"\"$ $\"About$

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First, we need to understand that synthetic division works for divisors of the form: (x - a) where \"s\" is some number. So we need to change (x+2) to be a subtraction: (x - (-2)).
\n" ); document.write( "Also it is important to represent every power of the variable when using synthetic division. So we will need a zero coefficient for the missing squared term. Putting these together we get:
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document.write( "-2 |   5    0   6    8\r\n" );
document.write( "          -10  20  -52\r\n" );
document.write( "      ----------------\r\n" );
document.write( "       5  -10  26  -44\r\n" );
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\n" ); document.write( "The number in the lower right corner is the remainder. As you may recall the remainder is put into the numerator of a fraction with the divisor in the denominator.
\n" ); document.write( "The rest of that bottom line is the rest of the quotient. So:
\n" ); document.write( " $\"%285x%5E3%2B6x%2B8%29%2F%28x%2B2%29+=+5x%5E2+-10x+%2B26+%2B+%28-44%29%2F%28x%2B2%29\"$
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