In case of division algorithm of polynomials, we compare the degree . why?

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Solution

We compare the degree because you cannot divide the polynomial of a lower degree by a polynomial of a higher degree so if at the initial step this is satisfied then we check for the remainder in this fashion only, as if the degree of the divisor is greater than what is left after a few steps then the division is stopped and the part what is left is the remainder.

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In case of division algorithm of polynomialz, we compare the degrees. Why?

If p(x) = g(x) × q(x) + r(x), p(x) and g(x) are any two polynomials with g(x) $\neq$ 0, then we can find polynomials q(x) and r(x) by division algorithm.We should stop the division process when

Single choice question:
If p(x) = g(x) × q(x) + r(x), p(x) and g(x) are any two polynomials with g(x) $\neq$ 0, then we can find polynomials q(x) and r(x) by division algorithm.We should stop the division process when

Q. Polynomials

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

and

r (x)

, which satisfy the division algorithm and deg

r (x) = 0

, are

Q. In the division algorithm of polynomials the divisor is

(x + 2)

, quotient is

(x + 1)

and the remainder is

4

. Find the dividend?

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