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Factor 9z + 18

using the GCF.(1 point)

1 answer

To factor the expression \( 9z + 18 \) using the greatest common factor (GCF), follow these steps:

  1. Identify the GCF of the terms in the expression.

    • The coefficients are 9 and 18. The GCF of 9 and 18 is 9.
    • The variable term is \( z \) (which is only present in the first term).

  2. Factor out the GCF from the expression: \[ 9z + 18 = 9(z) + 9(2) \]

  3. This can be rewritten as: \[ 9(z + 2) \]

So, the factored form of \( 9z + 18 \) is \( 9(z + 2) \).