If on division of a non-zerses polynomialg(X) by f(x), the remainder is zero what is the relation between g(x) and f(X)?

Question

If on division of a non-zerses polynomial
g(X) by f(x), the remainder is zero what is the relation between g(x) and f(X)?

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5 months 2021-07-18T23:20:50+00:00 1 Answers 0 views 0

Answers ( )

1. Answer:

Here p(x) denotes the non-zero polynomial, and g(x) is another polynomial which is dividing p(x). We have given that the remainder is 0. This implies the degree of p(x) is greater than the degree of g(x), because if both have the same degree then the remainder will a non-zero constant