QuestionFactor out the GCF in the polynomial. $24 x-18$

Studdy Solution

STEP 1

1. We are given a polynomial expression $24x - 18$ .
2. We need to factor out the greatest common factor (GCF) from the terms.

STEP 2

1. Identify the GCF of the coefficients in the polynomial.
2. Factor out the GCF from the polynomial.

STEP 3

Identify the GCF of the coefficients 24 and 18.
- The factors of 24 are: $1, 2, 3, 4, 6, 8, 12, 24$ . - The factors of 18 are: $1, 2, 3, 6, 9, 18$ .
The greatest common factor is $6$ .

STEP 4

Factor out the GCF from the polynomial $24x - 18$ .
$24x - 18 = 6(4x) - 6(3)$
$= 6(4x - 3)$
The polynomial factored with the GCF is:
$\boxed{6(4x - 3)}$

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