Question

factor out the greatest common factor. if the greatest common factor is 1, just retype the polynomial. \\( z^2 - 6z \\)

Explanation:

Step1: Identify GCF of terms

The polynomial is \( z^2 - 6z \). The terms are \( z^2 \) (which is \( z \times z \)) and \( -6z \) (which is \( -6 \times z \)). The greatest common factor (GCF) of \( z^2 \) and \( -6z \) is \( z \).

Step2: Factor out GCF

Using the distributive property \( ab + ac = a(b + c) \), we factor out \( z \) from \( z^2 - 6z \). So, \( z^2 - 6z = z \times z - z \times 6 = z(z - 6) \).

Answer:

\( z(z - 6) \)