document.write( "Question 1031494: Question:\r
\n" ); document.write( "\n" ); document.write( "Write the function in the form f(x) = (x − k)q(x) + r for the given value of kand demonstrate that f(k) = r. f(x) = (5x4 −4x3 +3x2 −2x+1); k = −2\r
\n" ); document.write( "\n" ); document.write( "I know that I'm supposed to use synthetic division to solve this
\n" ); document.write( "my final answer that I got was 5x^3+6x^2+15x+28 with a remainder of 57/x-2\r
\n" ); document.write( "\n" ); document.write( "My question is how do I check my solution to verify?\r
\n" ); document.write( "\n" ); document.write( "Thanks! \n" ); document.write( "

Algebra.Com's Answer #646175 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Work it backwards to see if you get the original numerator.
\n" ); document.write( "As a simpler example,
\n" ); document.write( " $\"%282x%5E2%2B2x%2B9%29%2F%28x%2B3%29=%282x-4%29%2B21%2F%28x%2B3%29\"$
\n" ); document.write( "So then multiplying both sides by $\"x%2B3\"$ ,
\n" ); document.write( " $\"2x%5E2%2B2x%2B9=%282x-4%29%28x%2B3%29%2B21\"$
\n" ); document.write( " $\"2x%5E2%2B2x%2B9=2x%5E2%2B6x-4x-12%2B21\"$
\n" ); document.write( " $\"2x%5E2%2B2x%2B9=2x%5E2%2B2x%2B9\"$
\n" ); document.write( "So then verify that,
\n" ); document.write( " $\"5x%5E4-4x%5E3%2B3x%5E2-2x%2B1=%285x%5E3%2B6x%5E2%2B15x%2B28%29%28x-2%29%2B57\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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