Question

.On dividing

3 – 3

2 + + 2 by a polynomial g(), the quotient and remainder were – 2 and

–2 + 4, respectively. Find g().​

Answer 1

Answer:

Answer

Correct option is

B

x

2

−x+1

Dividend =p(x)=x

3

−3x

2

+x+2

Quotient =q(x)=x−2

Remainder =r(x)=2x+4

By division algorithm, p(x)=q(x)g(x)+r(x)

⇒g(x)=

q(x)

p(x)−r(x)

⇒g(x)=

x−2

x

3

−3x

2

+x+2+2x−4

⇒g(x)=

x−2

x

3

−3x

2

+3x−2

So, g(x)=x

2

−x+1

solution