Question

6x6 - 3x2 + 7x - 152 by x2 - 3 Divide this please and also verify the division algorithm​

Answer 1

Answer:

Let f(x)=x

3 −6x

2+11x−6

and p(x)=x−2

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

Quotient q(x)=x

2 −4x+3 and Remainder r(x)=0

p(x)q(x)=(x−2)(x

2 −4x+3)

p(x)q(x)=x

3 −4x

2+3x−2x

2+8x−6

p(x)q(x)=x

3 −6x

2 +11x−6

⇒p(x)q(x)=f(x)

⇒p(x)q(x)+0=f(x)

⇒p(x)q(x)+r(x)=f(x)