document.write( "Question 1052158: 57x^2-36x^3+4x^4-16x+63/x-7 \n" ); document.write( "

Algebra.Com's Answer #667582 by Boreal(15235) $\"\"$ $\"About$

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Using synthetic division with 7 (the sign changes)
\n" ); document.write( "7/4===-36====57===-16===63; order the coefficients beginning with the highest power
\n" ); document.write( "4*7=28 (bring down the 4, use the next smallest power, and first term is 4x^3 in the quotient.
\n" ); document.write( "28====28
\n" ); document.write( "=======-8 add
\n" ); document.write( "=============-56 The polynomial is 4x^3-8x^2
\n" ); document.write( "==============1 Plus x
\n" ); document.write( "===================-7
\n" ); document.write( "=====================-9 and minus 9
\n" ); document.write( "========================-63 which leaves 0, meaning it divides evenly.
\n" ); document.write( "The polynomial that is the quotient is comprised of the multiples beginning with one less power, here, x^3.
\n" ); document.write( "(x-7)(4x^3-8x^2+x-9).
\n" ); document.write( "The second is not factorable. x=2 is almost a root, but f(2)=32-32+2-9 and not equal to 0.
\n" ); document.write( " $\"graph%28300%2C300%2C-10%2C10%2C-100%2C100%2C4x%5E4-36x%5E3%2B57x%5E2-16x%2B63%29\"$ \n" ); document.write( "

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