Question

A polynomial of degree 5 is divided by a quadratic polynomial. if it leaves a remainder then find the degree of remainder

Answer 1

The degree of the remaining should be 2 or less.

Because division algorithm states...

p(x) = g(x)q(x) + r(x) where deg r(x)<deg q(x)

...and in the above question, the degree of q(x) shall be 3 because polynomial of degree 5 is divided by that of 2.

Answer 2

Answer:

Step-by-step explanation:

From ur question degrees are

P(x) = a^5

G(x) = a^2

Then Q(x) = a^(5-2) = a^3

And R(x) = a^1 and it is same at all form of degrees in P(x) and others.

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