Factor 9z + 18 using the GCF.
To find the greatest common factor (GCF), we need to find the largest number or algebraic expression that divides evenly into both terms: 9z and 18.
For 9z, the prime factors are 3 and z.
For 18, the prime factors are 2 and 3.
The GCF is the product of the common prime factors: 3.
Thus, we can factor out 3 from 9z and 18:
9z + 18 = 3(3z+6)
incorrect
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To factor 9z + 18 using the greatest common factor (GCF), we need to find the largest number or algebraic expression that divides evenly into both terms: 9z and 18.
For 9z, the prime factors are 3 and z.
For 18, the prime factors are 2, 3, and 3 (since 18 = 2 * 3 * 3).
The common prime factor between 9z and 18 is 3. Therefore, we can factor out 3 from both terms:
9z + 18 = 3 * (3z + 6)
So, the factored form of 9z + 18 using the GCF is 3(3z + 6).
wrong
To factor 9z + 18 using the greatest common factor (GCF), we first need to find the GCF of the two terms, which is 9.
Step 1: Factor out the GCF:
9z + 18 = 9(z + 2)
Therefore, the factored form of 9z + 18 using the GCF is 9(z + 2).
To factor out the greatest common factor (GCF) from the expression 9z + 18, we first need to determine the GCF of the two terms.
Step 1: Identify the GCF of the coefficients
The coefficients of the terms are 9 and 18. The GCF of 9 and 18 is 9.
Step 2: Identify the GCF of the variables, if any
The variable in both terms is z. Since there is only one variable and it does not change, the GCF of the variables is z.
Step 3: Combine both the GCF of the coefficients and the GCF of the variables
The GCF of the coefficients is 9, and the GCF of the variables is z. Therefore, the GCF of the entire expression 9z + 18 is 9z.
Step 4: Factor out the GCF from the expression
To factor out the GCF, we divide each term by the GCF and write it outside a set of parentheses:
9z + 18 = 9z(1) + 9z(2) = 9z(1 + 2) = 9z(3)
So, the factored form of 9z + 18 using the GCF is 9z(3).