which is the greatest common factor of -21x^2 - 9x +12x^4?
3x(-7x - 3 + 4x^3)
looks like 3x to me
actually, GCF requires two or more values, in a list.
You have just provided an expression
To find the greatest common factor (GCF) of the given polynomial -21x^2 - 9x + 12x^4, we first need to factorize the polynomial completely.
1. Rearrange the polynomial in descending order of exponents:
12x^4 - 21x^2 - 9x
2. Group the terms and identify the common factor:
x(12x^3 - 21x - 9)
3. Factorize the grouped terms:
x(3x)(4x^2 - 7) - 3(3x + 1)(x - 3)
4. Identify the common factors among the terms:
The common factors are x and (4x^2 - 7).
Therefore, the GCF of -21x^2 - 9x + 12x^4 is x(4x^2 - 7).