on divding x^3-3x^2+x+2 by a polynimial g(x) ,the quotient and remainder were x-2 and -2x+4 reapectively. find g(x)
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Step-by-step explanation:
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Answer:
x²-x+1
Step-by-step explanation:
Dividend=p(x)=x³-3x²+x+2
Quotient=Q(x)=x-2
Reminder=r(x)=2x+4
g(x)=p(x)-r(x)/Q(x)
=x³-3x²+x+2+2x-4/x-2
=x³-3x²+3x-2/x-2
=g(x)=x²-x+1
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