Math, asked by Anonymous, 1 year ago

What is Euclid's division lemma?

Answers

Answered by preetish39
1
According to Euclid’s Division Lemma if we have two positive integers a and b, then there exists unique integers q and r which satisfies the condition a = bq + r where 0 ≤ r ≤ b.

The basis of Euclidean division algorithm is Euclid’s division lemma. To calculate the Highest Common Factor (HCF) of two positive integers a and b we use Euclid’s division algorithm. HCF is the largest number which exactly divides two or more positive integers. By exactly we mean that on dividing both the integers a and b the remainder is zero.

Answered by no4
3
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Here's your best answer =>>>

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♣ Dividend = Divisor × Quotient + Remainder.

♣ If s(x) and p (x) are two polynomials such that degree of s(x) is greater than or equal to the degree of p(x) and after dividing s(x) by p(x) the quotient is q(x) then,
s(x) = p(x) × q(x) + r(x), where r(x) = 0 or degree of r(x) < 0.

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