Marshall Graham
06/03/2023 · Middle School
What is the GCF of the terms of \( 3 x^{2}-15 x+6 ? \) 1
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To find the greatest common factor (GCF) of the terms of the expression \(3x^2 - 15x + 6\), we need to factorize the expression first.
Given expression: \(3x^2 - 15x + 6\)
Factorizing the expression:
\(3x^2 - 15x + 6 = 3(x^2 - 5x + 2)\)
Now, we need to find the GCF of the terms inside the parentheses \(x^2 - 5x + 2\).
The terms inside the parentheses are \(x^2\), \(-5x\), and \(2\).
The GCF of these terms is 1, as there are no common factors other than 1.
Therefore, the GCF of the terms of \(3x^2 - 15x + 6\) is 1.
Quick Answer
The GCF of \(3x^2 - 15x + 6\) is 1.
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