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Degree of a Polynomial

Give an examp...

Question

Give an example of polynomials f(x), g(x), q(x) and r(x) satisfying f(x) = g(x), q(x) + r(x), where degree r(x) = 0.

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Solution

Using division algorithm, we have

Hence an example for polynomial,, and satisfying are

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Similar questions

f (x), g (x), q (x)

r (x)

f (x) = g (x) q (x) + r (x)

d e g r (x) = 0

d e g q (x) = d e g r (x)

If f(x) is divided by g(x), g(x) ≠ 0 , then there exist two polynomials q(x) and r(x) such that

p (x), g (x), q (x)

r (x)

p (x) =

q (x)

q (x) =

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r (x) = 0

f (x) = g (x) q (x) + r (x)

f (x) g (x) q (x)

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r (x) < d e g . g (x)

g (x) < d e g . q (x)

g (x)

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