document.write( "Question 1127209: The remainder of x^3+ax+b when divided by (x^2-1) is x+2. Find a and b. \n" ); document.write( "

Algebra.Com's Answer #743570 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( " if $\"x%5E3%2Bax%2Bb\"$ when $\"divided\"$ by $\"%28x%5E2-1%29\"$ is $\"x%2B2\"$ , then\r
\n" ); document.write( "\n" ); document.write( "when $\"%28x%5E2-1%29\"$ $\"multiplied+by++%7B%7B%7Bx%2B2\"$ is $\"x%5E3%2Bax%2Bb\"$ \r
\n" ); document.write( "\n" ); document.write( "so, multiply $\"%28x%5E2-1%29%28x%2B2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E3-x-x-2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E3-2x-2\"$ now compare to $\"x%5E3%2Bax%2Bb\"$ and you see that $\"a=-2\"$ and $\"b=-2\"$ \n" ); document.write( "

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