document.write( "Question 1175930: If x-6 is a factor of the polynomial g(x), then g (_____) = 0
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Algebra.Com's Answer #801706 by math_helper(2461) $\"\"$ $\"About$

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document.write( "You need to know this cold: if r is a root of polynomial p(x), then x-r divides p(x) evenly (i.e. no remainder) AND  p(r) = 0.   \r
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document.write( "These facts will be used countless times from Algebra on up the mathematics subjects. \r
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document.write( "Example: find the roots of 
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document.write( "  ---> p(x)/(x-2) = x-7    (no remainder)
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document.write( "x=7 is one root
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document.write( "x=2 is the 2nd root  (the total count of roots always equals the highest power found in p(x), here we have two roots because the highest power of x in p(x) is 2) 
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document.write( "p(7) = 7^2-9(7)+14 = 49-63+14 = 0   <<< p(7) = 0 as expected
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document.write( "check p(2) on your own. \r
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