On dividing by a polynomial the quotient and remainder were and respectively. Find

Question

Philoid · Accepted Answer

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)