Answer :
Final answer:
The GCF of the list [-21x^3, 6x^4] is 3x^3.
Explanation:
The GCF (Greatest Common Factor) is the largest number or term that divides evenly into a set of numbers or terms. To find the GCF of the list [-21x^3, 6x^4], we need to identify the factors that both terms have in common and choose the one with the highest power of x.
Step 1: Break down each term into its prime factors. The prime factorization of -21x^3 is -1 * 3 * 7 * x * x * x, and the prime factorization of 6x^4 is 2 * 3 * x * x * x * x.
Step 2: Identify the common factors. Both terms have 3, x, and x*x*x (x^3) as common factors.
Step 3: Choose the highest power of x among the common factors, which is x^3.
Therefore, the GCF of the list [-21x^3, 6x^4] is 3x^3.
Learn more about GCF here:
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