Final answer:
The GCF of the polynomial -3k^2 + 9k is 3k, and the polynomial can be factored as 3k(-k + 3).
Step-by-step explanation:
To find the Greatest Common Factor (GCF) of the polynomial -3k2 + 15k - 6k, we must first correct any typos and simplify if necessary. The polynomial simplifies to -3k2 + 9k.
Next, we identify the GCF of the coefficients and variables. The GCF of the coefficients -3 and 9 is 3, and the GCF of the variables k2 and k is k (since k is the highest power present in both terms that divides both evenly).
Therefore, the GCF of the entire polynomial is 3k. Factoring out the GCF, we get:
3k(-k + 3) as the factored form of the polynomial.