Math, asked by nehalalitha, 4 months ago

The HCF of two polynomials A and B using long
division method was found to be 2x + 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.

Answers

Answered by yashkr87
6

Step-by-step explanation:

Degree of A > Degree of B

A > B

HCF = 2x + 1

1st quotient = x

2nd quotient = x + 1

Value of B = HCF * 2nd quotient

= (2x + 1) * (x + 1)

= 2x^2 + 3x + 1

Value of A = Value of B * 1st quotient

= (2x^2 + 3x + 1) * (x)

= 2x^3 + 3x^2 + 3x + 1

Hence ,

A = 2x^3 + 3x^2 + 3x + 1

B = 2x^2 + 3x + 1

In this solution

* denotes Multiply

^ denotes Power

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