Problem 2
Question
Factor out the greatest common factor. $$16 x-24$$
Step-by-Step Solution
Verified Answer
After factoring out the greatest common factor, the expression \(16x - 24\) simplifies to \(8(2x - 3)\).
1Step 1: Identify the Greatest Common Factor (GCF)
The first step is to identify the GCF of 16 and 24. The GCF of 16 and 24 is 8.
2Step 2: Factor out the GCF
Once the GCF is known, we must then factor it out from every term in the expression. Factoring out the GCF internalizes the distribution property, splitting the original statement into a product of the GCF and a new expression. Therefore, \(16x - 24\) factored out by 8 gives us \(8(2x - 3)\).
Other exercises in this chapter
Problem 2
In Exercises 1–4, is the algebraic expression a polynomial? If it is, write the polynomial in standard form. $$ 2 x+3 x^{-1}-5 $$
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Evaluate each expression indicate that the root is not a real number. $$ \sqrt{25} $$
View solution Problem 2
Evaluate each exponential expression. $$ 6^{2} \cdot 2 $$
View solution Problem 2
Evaluate each algebraic expression for the given value or values of the variable(s). $$ 8+6 x, \text { for } x=5 $$
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