Question
Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
2g^2–6g
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2g^2–6g
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GPT-4o mini
To factor out the greatest common factor (GCF) from the polynomial \( 2g^2 - 6g \):
1. Identify the GCF of the terms \( 2g^2 \) and \( -6g \).
- The coefficients are 2 and -6, and their GCF is 2.
- The variable part has the lowest power of \( g \) which is \( g^1 \).
- Therefore, the GCF of the entire polynomial is \( 2g \).
2. Factor out \( 2g \):
\[
2g^2 - 6g = 2g(g - 3)
\]
So, the factored form is \( 2g(g - 3) \).
1. Identify the GCF of the terms \( 2g^2 \) and \( -6g \).
- The coefficients are 2 and -6, and their GCF is 2.
- The variable part has the lowest power of \( g \) which is \( g^1 \).
- Therefore, the GCF of the entire polynomial is \( 2g \).
2. Factor out \( 2g \):
\[
2g^2 - 6g = 2g(g - 3)
\]
So, the factored form is \( 2g(g - 3) \).
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