Question

If 1 is a zero of the polynomial p(x) by a polynomial g(x), the quotient is zero. What is the relation between the degree of p(x) and g(x)?

Answer 1

Step-by-step explanation:

i dont know sorry. plz mark me brainliest

Answer 2

Step-by-step explanation:

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

or

There cannot be an explicit relationship between degrees of p(x) and g(x) but we can say that degree of p(x) will be strictly less than that of g(x). If both had same degrees, the remainder would be a non-zero constant and if degree of p(x) is greater than g(x), remainder would at least be a first degree polynomial.

In general we can say that if quotient of p(x)/g(x) is zero then,

Degree[ g(x) ] > Degree[ p(x) ].

I Hope it is a correct answer and helpful