Problem 18
Question
Factor each polynomial using the greatest common factor. If there is no common factor other than 1 and the polynomial cannot be factored, so state. $$10 x+30$$
Step-by-Step Solution
Verified Answer
The factored form of the polynomial \(10x + 30\) using the greatest common factor is \(10(x + 3)\).
1Step 1: Identify the terms in the polynomial
The terms in the polynomial are \(10x\) and \(30\).
2Step 2: Determine the greatest common factor
The greatest common factor of the coefficients of \(10x\) and \(30\) is \(10\).
3Step 3: Factor out the greatest common factor
Divide each term in the polynomial by the greatest common factor \(10\), giving us \(x + 3\), and then write the polynomial as the product of the greatest common factor and the result of this division. This gives us \(10(x + 3)\).
Other exercises in this chapter
Problem 18
Factor each difference of two squares. $$x^{10}-1$$
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