document.write( "Question 65528: Let f(x)=x^3-8x^2+17x-9. Use the factor theorem to find other solutions to f(x)-f(1)=0, besides x=1. \n" ); document.write( "

Algebra.Com's Answer #46112 by venugopalramana(3286) $\"\"$ $\"About$

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Let f(x)=x^3-8x^2+17x-9. Use the factor theorem to find other solutions to f(x)-f(1)=0, besides x=1.
\n" ); document.write( "LET G(X) = F(X)-F(1)=X^3-8X^2+17X-9-[1-8+17-9]=0
\n" ); document.write( "G(X)=X^3-8X^2+17X-10=0
\n" ); document.write( "FACTORS OF 10 ARE + OR - 1,2,5,10
\n" ); document.write( "G(2)= 2^3-8*2^2+17*2-10=8-32+34-10=0.........HENCE (X-2) IS A FACTOR
\n" ); document.write( "G(5)= 5^3-8*5^2+17*5-10=125-200+85-10=0......HENCE (X-5) IS A FACTOR
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