Question

The HCF of two polynomials $A$ and $B$ using long division method was found to be $2 x+1$ after two steps. The first two quotients obtained are $x$ and $(x+1)$. Find $A$ and $B$. Given that degree of $A>$ degree of $B$.

• A. $A=2 x^3+3 x^2+x-1, B=2 x^2-3 x+1$
• B. $A=2 x^3-3 x^2+x-1, B=2 x^2-3 x-1$
• C. $A=2 x^3+3 x^2-3 x-1, B=2 x^2-3 x+1$
• D. $A=2 x^3+3 x^2+3 x+1, B=2 x^2+3 x+1$

Answer 1

Answer: (D)

(i) Use division method for finding HCF
(ii) Check from the options.