You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

GCD of Polynomials

If px=gx × qx...

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

r(x) = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

degree of r(x) < degree of g(x)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Either A or B

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
Either A or B

we stop the division process when either the remainder is zero or its degree is less than the degree of the divisor.

Suggest Corrections

Similar questions

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. If

p (x)

and

g (x)

are any two polynomials with

g (x) \neq 0

, then we can find polynomial

q (x)

and

r (x)

such that

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

where

Say true or false:

For polynomials

p (x)

and any non-zero polynomial

g (x)

, there are polynomials

q (x)

and

r (x)

such that

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

, where

r (x) = 0

or degree

r (x) <

degree

g (x) .

This statement is correctly explains the remainder theorem.

Q. Give examples of polynomials

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

and

r (x)

, which satisfy the division algorithm and
(i) deg

p (x) =

deg

q (x)

(ii) deg

q (x) =

deg

r (x)

(iii) deg

r (x) = 0

Join BYJU'S Learning Program

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

The correct option is C Either A or B we stop the division process when either the remainder is zero or its degree is less than the degree of the divisor.

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

The correct option is C
Either A or B

we stop the division process when either the remainder is zero or its degree is less than the degree of the divisor.