document.write( "Question 676329: factor completely: g(x)= -1/4(x^4-x^3-5x^2-x-6) If g(3)=0 and g(4)= -25 1/2 \n" ); document.write( "
Algebra.Com's Answer #420289 by stanbon(75887)\"\" \"About 
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factor completely: g(x)= -1/4(x^4-x^3-5x^2-x-6) If g(3)=0 and g(4)= -25 1/2
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\n" ); document.write( "Since g(3) = 0, x-3 is a factor of g(x)
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\n" ); document.write( "3)....1....-1....-5....-1....-6
\n" ); document.write( "......1....2.....1.....2...|..0\r
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\n" ); document.write( "Quotient: x^3+2x^2+x+2
\n" ); document.write( "= x^2(x+2)+(x+2)
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\n" ); document.write( "= (x+2)(x^2+1)
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\n" ); document.write( "g(x) = (-1/4)(x-3)(x+2)(x^2+1)
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\n" ); document.write( "Cheers,
\n" ); document.write( "stan H.
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