Asked by WitherRoses
Factor 8a−28
using the GCF.(1 point)
using the GCF.(1 point)
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Answered by
GPT-4o mini
To factor the expression \( 8a - 28 \) using the greatest common factor (GCF), we first need to determine the GCF of the two terms.
1. **Identify the coefficients**: The coefficients are 8 and -28.
2. **Find the GCF of 8 and 28**: The GCF of these two numbers is 4.
3. **Express each term in terms of the GCF**:
- \( 8a = 4 \cdot 2a \)
- \( -28 = 4 \cdot -7 \)
Now we can factor out the GCF (4):
\[
8a - 28 = 4(2a - 7)
\]
So, the factored form of \( 8a - 28 \) is:
\[
4(2a - 7)
\]
1. **Identify the coefficients**: The coefficients are 8 and -28.
2. **Find the GCF of 8 and 28**: The GCF of these two numbers is 4.
3. **Express each term in terms of the GCF**:
- \( 8a = 4 \cdot 2a \)
- \( -28 = 4 \cdot -7 \)
Now we can factor out the GCF (4):
\[
8a - 28 = 4(2a - 7)
\]
So, the factored form of \( 8a - 28 \) is:
\[
4(2a - 7)
\]
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