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Question

___ is used to find the HCF of given set of two polynomials.


A

Division algorithm

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B

Multiplication algorithm

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C

Addition algorithm

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D

Subtraction algorithm

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Solution

The correct option is A

Division algorithm


Using a division algorithm one can find the HCF of two polynomials. It states that,

f(x) = g(x) * q(x) + r(x)

where, f(x) = dividend (polynomial of greater degree), g(x) = divisor polynomial, q(x) = quotient polynomial and r(x) = remainder polynomial

According to the concept, if r(x) = 0, then the divisor polynomial acts as a HCF of the two polynomials.


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