Question

What should be the degree of dividend polynomial if we need to apply Euclid's division Lemma ?

• A. It must be equal to the degree of divisor.
• B. It must be greater than the degree of divisor.
• C. It must be smaller than the degree of divisor.
• D. It must be greater than or equal to the degree of divisor.

Answer 1

The correct option is D It must be greater than or equal to the degree of divisor.

Euclid's Division Lemma states that, for given two integers a and b, there exists whole numbers q and r such that a = bq + r, $(0\le r<b).$

So, as per the Euclid's division Lemma, degree of the dividend polynomial must be greater than or equal to the degree of the divisor .