Question

if on division of a polynomial p(x) by a polynomial g(x) the quotient is zero, what is the relation between degree of p(x) and g(x)?​

Answer 1

Answer:

dgree of p(x)= dgree of g(x)

Answer 2

Answer:

Ⓗⓔⓡⓔ'ⓢ ⓨⓞⓤⓡ ⓐⓝⓢⓦⓔⓡ ⓜⓐⓣⓔ!

By, Division Algorithm, we have

p(x)=g(x)q(x)+r(x)

If, on division of p(x) by g(x) the quotient is 0, then the

degp(x)<degg(x)

Ex: p(x)=x+1 and g(x)=x ^2 - 1

Here, the quotient is 0 and the degp(x)<degg(x) ie 1<2

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