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Finding LCM of Polynomials 2x^2+5x+2, 2x^2-x-1 Using GCF

Created By : Rina Nayak

Reviewed By : Rina Nayak

Last Updated : Apr 17, 2023

Our Free LCM of Polynomials Using GCF Calculator is helpful for Finding LCM of Polynomials 2x^2+5x+2, 2x^2-x-1 Using GCF. The tool will give you the result 2x^3 + 3x^2 - 3x - 2 easily with a detailed explanation.

Ex: x^2+2x+1,x+1 (or) x^2-1,x-1 (or) x^3-1,x+1

LCM of
and

Finding LCM of Polynomials (x+3), (x-3) Using GCF

Solution to Find LCM of Polynomials 2x^2+5x+2, 2x^2-x-1 Using GCF

Given polynomials are (2x^2+5x+2),(2x^2-x-1)

Find the factors of all polynomials

The factors of 2x^2+5x+2 are 1, and (x + 2)(2x + 1)

The factors of 2x^2-x-1 are 1, and (x - 1)(2x + 1)

By observing the above factors, we can say that the GCF of (2x^2+5x+2) and (2x^2-x-1) is 2x + 1

To find the LCM of (2x^2+5x+2) and (2x^2-x-1), we have to multiply both together

= (2x^2+5x+2) * (2x^2-x-1)

= 2x^2(2x^2-x-1) +5x(2x^2-x-1) +2(2x^2-x-1)

= 4x^4 + 8x^3 - 3x^2 - 7x - 2

To find the LCM we have to divide 4x^4 + 8x^3 - 3x^2 - 7x - 2 by GCF

i.e (4x^4 + 8x^3 - 3x^2 - 7x - 2)/(2x + 1) = 2x^3 + 3x^2 - 3x - 2

Therefore, the LCM of (2x^2+5x+2),(2x^2-x-1) is 2x^3 + 3x^2 - 3x - 2

FAQS on Finding LCM of Polynomials 2x^2+5x+2, 2x^2-x-1 Using GCF

1. What is the LCM of Polynomials 2x^2+5x+2, 2x^2-x-1 Using GCF?

The least common multiple of Polynomials 2x^2+5x+2, 2x^2-x-1 Using GCD is 2x^3 + 3x^2 - 3x - 2

2. Where can I get the detailed solution for Finding LCM of Polynomials 2x^2+5x+2, 2x^2-x-1 Using GCF?

Check factorpolynomials.com site to know the detailed solution of LCM of Polynomials 2x^2+5x+2, 2x^2-x-1 Using GCF?

3. How to Find Least Common Multiple of 2x^2+5x+2, 2x^2-x-1 with GCF method?

You have to find GCF of polynomials 2x^2+5x+2, 2x^2-x-1 and then multiply all the polynomials. Now,