Problem 1
Question
Factor out the greatest common factor. $$18 x+27$$
Step-by-Step Solution
Verified Answer
The greatest common factor of the expression \(18x + 27\) is 9. When factored out, the expression becomes \(9(2x + 3)\).
1Step 1: Identify the greatest common factor
In the given expression \(18x+27\), the greatest common factor is a number that divides both 18 and 27 without a remainder. The greatest common factor in this case is 9.
2Step 2: Factor out the greatest common factor
Now, divide each term in the expression by the greatest common factor: \(18x ÷ 9 = 2x\) and \(27 ÷ 9 = 3\). This gives us the factored form of the expression: \(9(2x + 3)\).
Other exercises in this chapter
Problem 1
In Exercises 1–4, is the algebraic expression a polynomial? If it is, write the polynomial in standard form. $$ 2 x+3 x^{2}-5 $$
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Evaluate each expression indicate that the root is not a real number. $$ \sqrt{36} $$
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Evaluate each exponential expression. $$ 5^{2} \cdot 2 $$
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Evaluate each algebraic expression for the given value or values of the variable(s). $$7+5 x, \text { for } x=10$$
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