Q. 44.4( 431 Votes )

On dividing 

Answer :

Given,
Polynomial,  p(x) = x3 - 3x2 + x + 2
(dividend)

Quotient = (x − 2)

Remainder = (− 2x + 4)


To find :  divisor = g(x)
we know,
Dividend = Divisor × Quotient + Remainder
⇒ x3 - 3x2 + x +2  = g(x) × (x - 2) + (-2x + 4)

⇒ x3 - 3x2 + x + 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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