Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 7k^2 - 2k ______

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Identify GCF of Terms: We need to find the greatest common factor (GCF) of the terms 7k^2 and 2k. To do this, we look for the highest number that divides both coefficients (7 and 2) and the highest power of k that is present in both terms.Coefficients GCF: 1: The coefficients 7 and 2 are both prime numbers and do not have any common factors other than 1. Therefore, the GCF of the coefficients is 1.Variable Part Analysis: For the variable part, the lowest power of k present in both terms is k^1 (or simply k), since 7k^2 has k^2 and 2k has k^1.Combine Coefficients and Variable: Combining the GCF of the coefficients and the variable part, we find that the GCF of 7k^2 and 2k is k.Factor Out GCF: Now we factor out the GCF (k) from each term: 7k^2 = k * 7k 2k = k * 2Write Factored Polynomial: Writing the polynomial with the GCF factored out, we get: 7k^2 - 2k = k(7k - 2)

Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $7k^2 - 2k$

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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $7k^2 - 2k$