MyQuestionIcon

1

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

Relationship between LCM and GCD

The product o...

Question

The product of the GCD and LCM of any two polynomials is equal to the __ of those two polynomials.

Open in App

Solution

Consider two polynomials, f(x) and g(x)

f(x) $\times$ g(x) = L C M(f(x), g(x)) $\times$ G C D(f(x), g(x))

Suggest Corrections

thumbs-up

2

Similar questions

Q. Product of the GCD and LCM of polynomials = ______

Q. The GCD and LCM of two polynomials are

x + 1

x^{6} - 1

respectively. If one of the polynomials is

x^{3} + 1

, find the other.

Q. The product of the HCF and the LCM of two polynomials is

(x^{2} - 1) (x^{4} - 1)

then the product of the polynomials is _____

Q. The GCD of two polynomials is

x y^{2} z^{2}

and their LCM is

x y^{3} z^{8}

. If one of the polynomials is

x y^{2} z^{2}

, then the other one is .

Q. The HCF of two polynomials

4 x^{2} (x^{2} - 3 x + 2) a n d 12 x (x - 2) (x^{2} - 4)

is 4x(x - 2) The LCM of the two polynomials is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Midbrain

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Relationship between LCM and GCD

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon