On dividing 
by a polynomial 
the quotient and remainder were 
and 
respectively. Find 
p(x) = x3-3x2+x+2 (dividend)
g(x) = ? (Divisor)
Quotient = (x − 2)
Remainder = (− 2x + 4)
Dividend = Divisor × Quotient + Remainder
x3-3x2+3x+2 = g(x)×(x-2)+(-2x+4)
x3-3x2+3x+2+2x-4 = g(x)(x-2)
x3-3x2+3x-2 = g(x)(x-2)
g(x) is the quotient when we divide (x3-3x2+3x-2) by (x-2)
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