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 #646178 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
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) = (5x^4 −4x^3 +3x^2 −2x+1); k = −2
\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
\n" ); document.write( "My question is how do I check my solution to verify?
\n" ); document.write( "-------|
\n" ); document.write( "-2)....5....-4....3....-2....1
\n" ); document.write( ".......5....-14..31....-64..|..129
\n" ); document.write( "----------
\n" ); document.write( "Checking::
\n" ); document.write( "f(-2) = 5*(-2)^4 - 4(-2)^3 + 3(-2)^2 -2(-2) + 1
\n" ); document.write( "----
\n" ); document.write( "= 5(16) - 4(-8) + 12 + 4 + 1
\n" ); document.write( "---
\n" ); document.write( "= 80+32+12+4+1 = 129
\n" ); document.write( "------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "------------\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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