If on division of a non-zero Polynomial P(x by a polynomial g (x) the remainder is zero, what is the relation between t

Question

If
on division of a non-zero
Polynomial P(x by a polynomial g (x)
the remainder is zero, what is the
relation between the degree of p(x) and g (x) ?

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Lydia 2 weeks 2021-09-07T02:34:23+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-07T02:35:27+00:00

    Answer:

    deg p(x)= deg g(x)+r(c)

    Then, deg p(x)≥ deg g(x)

    hope \: its \: helps \: you

    0
    2021-09-07T02:36:07+00:00

    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.

    Therefore, the quotients and dividend, that is, g(x) will be the real factors of p(x).

    Step-by-step explanation:

    Hope it helps you

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