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To solve for the greatest common factor, ask yourself what is the largest number that you can divide in all 3 numbers, in this case would be 3.
12/3 = 4
27/3 = 9
6/3 = 2.
Then find the largest common variable you can evenly divided in all 3 terms, this would be x^2.
X^4/x^2 = X^2
X^3/X^2 = X^1
X^2/x^2 = x^0 = 1.
Put the 2 together, and you have your GCF. 3X^2 is your GCF.
12/3 = 4
27/3 = 9
6/3 = 2.
Then find the largest common variable you can evenly divided in all 3 terms, this would be x^2.
X^4/x^2 = X^2
X^3/X^2 = X^1
X^2/x^2 = x^0 = 1.
Put the 2 together, and you have your GCF. 3X^2 is your GCF.
The greatest common factors of the terms of the polynomial 12x⁴ + 27x³ + 6x² is 3x²
Definition of greatest common factor
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
Given the polynomial:
12x⁴ + 27x³ + 6x²
The greatest common factors of the terms is 3x²
Find out more on greatest common factor at: https://brainly.com/question/219464