Solution
verified
Verified by Toppr
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)
x−2
x
+x+2+2x−4
⇒g(x)= x−2x
3 −3x
2 +3x−2
So, g(x)=x
2 −x+1
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Answers & Comments
Solution
verified
Verified by Toppr
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−2x
3 −3x
2 +3x−2
So, g(x)=x
2 −x+1