Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression 24x+15. The GCF of 24 and 15 is 3 because it is the largest number that divides both 24 and 15 without leaving a remainder.
Factor out GCF: Factor out the GCF from each term in the expression.The expression 24x can be written as 3×8x, and the expression 15 can be written as 3×5.So, factoring out the GCF of 3 from the expression gives us 3(8x+5).
Check for Further Factoring: Check to see if the expression inside the parentheses can be factored further.The expression 8x+5 does not have a common factor other than 1, and it is not a special product such as a difference of squares or a perfect square trinomial. Therefore, it cannot be factored further.
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