Divide x^3-6x^2+4x+1 by x-2

Answers 1

Explanation:

−6

and p(x)=x−2

Dividing f(x) by p(x) we get

Quotient q(x)=x

−4x+3 and Remainder r(x)=0

p(x)q(x)=(x−2)(x

−4x+3)

p(x)q(x)=x

−4x

+3x−2x

+8x−6

p(x)q(x)=x

−6x

+11x−6

⇒p(x)q(x)=f(x)

⇒p(x)q(x)+0=f(x)

⇒p(x)q(x)+r(x)=f(x)

Hence division algorithm verified.

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