Question

If on division of a non-zero polynomial p (x) by a polynomialg (x). the remainder is zero, what
is the relation between the degrees ofp (x) and g (x)?

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Answer 1

Answer:

We know that,

p(x)= g(x) × q(x)+r(x)

According to the question,

q(x) =0

When q(x)=0, then r(x) is also = 0

So, now when we divide p(x) by g(x),

Then p(x) should be equal to zero

Hence, the relation between the degrees of p (x) and g (x) is the degree p(x)