Question

f(x)=X cube÷3+xsquare@÷2+x÷2and g(x)=Xcube÷2+xsquare ÷3+X÷4
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Answer 1

Answer:

Correct option is B)

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