document.write( "Question 30213: Question:
\n" ); document.write( "Use the factor between therorm to determin whichofhte following is not a factor of f(x) =3x^4-x^3-68x^2+76x+80\r
\n" ); document.write( "\n" ); document.write( "Possible Answer:
\n" ); document.write( "(a) a-2
\n" ); document.write( "(b) 3x+2
\n" ); document.write( "(c) 3x-2
\n" ); document.write( "(d) x+5\r
\n" ); document.write( "\n" ); document.write( "Please be specific in which possible answer is correct. thank you!!! \n" ); document.write( "
Algebra.Com's Answer #17500 by sdmmadam@yahoo.com(530)\"\" \"About 
You can put this solution on YOUR website!
f(x) =3x^4-x^3-68x^2+76x+80
\n" ); document.write( "we have f(x) = 3x^4-x^3-68x^2+76x+80
\n" ); document.write( "= (x-2)(3x^3+5x^2-58x-40)
\n" ); document.write( "=(x-2)[(x+5)(3x^2-10x-8)]
\n" ); document.write( "=(x-2)(x+5)(3x+2)(x-4)\r
\n" ); document.write( "\n" ); document.write( "We observe that x = 2,x = -5 and x = -2/3 are roots of f(x) = 0
\n" ); document.write( "The fourth root being 4 naturally x =2/3 CANNOT NOT satisfy f(x) = 0
\n" ); document.write( "(we can check by inspection and ascertain that it is not a root)
\n" ); document.write( "which means (3x-2) ISNOT A FACTOR of f(x)
\n" ); document.write( "Therefore (x+2),(x+5), (3x+2) are factors of f(x)\r
\n" ); document.write( "\n" ); document.write( "Answer: (c) 3x-2 IS NOT A FACTOR\r
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