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Finding LCM of Polynomials (x^2-8x+7), (x^2+x-2) 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 (x^2-8x+7), (x^2+x-2) Using GCF. The tool will give you the result x^3 - 6x^2 - 9x + 14 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 (x^2-8x+7), (x^2+x-2) Using GCF

Given polynomials are ((x^2-8x+7)),((x^2+x-2))

Find the factors of all polynomials

The factors of (x^2-8x+7) are 1, and (x - 7)(x - 1)

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

By observing the above factors, we can say that the GCF of ((x^2-8x+7)) and ((x^2+x-2)) is x - 1

To find the LCM of ((x^2-8x+7)) and ((x^2+x-2)), we have to multiply both together

= ((x^2-8x+7)) * ((x^2+x-2))

= x^2((x^2+x-2)) -8x((x^2+x-2)) +7((x^2+x-2))

= x^4 - 7x^3 - 3x^2 + 23x - 14

To find the LCM we have to divide x^4 - 7x^3 - 3x^2 + 23x - 14 by GCF

i.e (x^4 - 7x^3 - 3x^2 + 23x - 14)/(x - 1) = x^3 - 6x^2 - 9x + 14

Therefore, the LCM of ((x^2-8x+7)),((x^2+x-2)) is x^3 - 6x^2 - 9x + 14

FAQS on Finding LCM of Polynomials (x^2-8x+7), (x^2+x-2) Using GCF

1. What is the LCM of Polynomials (x^2-8x+7), (x^2+x-2) Using GCF?

The least common multiple of Polynomials (x^2-8x+7), (x^2+x-2) Using GCD is x^3 - 6x^2 - 9x + 14

2. Where can I get the detailed solution for Finding LCM of Polynomials (x^2-8x+7), (x^2+x-2) Using GCF?

Check factorpolynomials.com site to know the detailed solution of LCM of Polynomials (x^2-8x+7), (x^2+x-2) Using GCF?

3. How to Find Least Common Multiple of (x^2-8x+7), (x^2+x-2) with GCF method?

You have to find GCF of polynomials (x^2-8x+7), (x^2+x-2) and then multiply all the polynomials. Now,