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
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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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