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The HCF of two polynomials A and B using...

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

A

`A=2x^(3)+3x^(2)+x-1,B=2x^(2)-3x+1`

B

`A=2x^(3)-3x^(2)+x-1,B=2x^(2)-3x-1`

C

`A=2x^(3)+3x^(2)-3x-1,B=2x^(2)-3x+1`

D

`A=2x^(3)+3x^(2)+3x+1,B=2x^(2)+3x+1`

Text Solution

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The correct Answer is:
D
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