The greatest common factor amongst the three factors is 3x² as it has a degree of 2 and a coefficient greater than 1.
What is polynomial?
Sums of terms of the form k-x^n, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The concepts degree, standard form, monomial, binomial, and trinomial are all covered in this video. An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
Here,
The polynomial=12x⁴+27x³+6x²
On simplifying,
=3x²(4x²+9x+2)
With a degree of 2 and a coefficient larger than 1, 3x² has the highest common factor of the three components.
To know more about polynomial,
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