Question
Find the GCF for the list.
negative 15 x squared comma 6 x cubed
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Part 1
The GCF is
enter your response here.
negative 15 x squared comma 6 x cubed
Question content area bottom
Part 1
The GCF is
enter your response here.
Answers
GPT-4o mini
To find the greatest common factor (GCF) for the terms \(-15x^2\) and \(6x^3\), we can break it down into two parts: the coefficients and the variable parts.
1. **Coefficients**:
- The coefficients are \(-15\) and \(6\).
- The factors of \(-15\) are \(-1, -3, -5, -15, 1, 3, 5, 15\).
- The factors of \(6\) are \(1, 2, 3, 6\).
- The GCF of \(-15\) and \(6\) is \(3\).
2. **Variable parts**:
- The variable parts are \(x^2\) from \(-15x^2\) and \(x^3\) from \(6x^3\).
- The GCF of \(x^2\) and \(x^3\) is \(x^2\) (the variable with the lowest exponent).
Now, we can multiply the GCF of the coefficients and the GCF of the variable parts together:
\[
\text{GCF} = 3x^2
\]
So, the GCF of \(-15x^2\) and \(6x^3\) is \(\boxed{3x^2}\).
1. **Coefficients**:
- The coefficients are \(-15\) and \(6\).
- The factors of \(-15\) are \(-1, -3, -5, -15, 1, 3, 5, 15\).
- The factors of \(6\) are \(1, 2, 3, 6\).
- The GCF of \(-15\) and \(6\) is \(3\).
2. **Variable parts**:
- The variable parts are \(x^2\) from \(-15x^2\) and \(x^3\) from \(6x^3\).
- The GCF of \(x^2\) and \(x^3\) is \(x^2\) (the variable with the lowest exponent).
Now, we can multiply the GCF of the coefficients and the GCF of the variable parts together:
\[
\text{GCF} = 3x^2
\]
So, the GCF of \(-15x^2\) and \(6x^3\) is \(\boxed{3x^2}\).