Asked by Gelo
Expression: -50x⁷+25x
GCF: □
Factored form: □
GCF: □
Factored form: □
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the greatest common factor (GCF) and rewrite the expression in factored form, let's consider the expression:
\[
-50x^7 + 25x
\]
**Step 1: Identify the GCF of the coefficients and the variables.**
1. The coefficients are -50 and 25. The GCF of -50 and 25 is 25.
2. The variable part has \(x^7\) and \(x^1\). The GCF is \(x^1 = x\).
**Step 2: Combine the GCF.**
The overall GCF is:
\[
25x
\]
**Step 3: Factor out the GCF from the expression.**
Now we can factor out \(25x\):
\[
-50x^7 + 25x = 25x(-2x^6 + 1)
\]
So, we have:
**GCF: \(25x\)**
**Factored form: \(25x(-2x^6 + 1)\)**
**Final Answer:**
- GCF: \(25x\)
- Factored form: \(25x(-2x^6 + 1)\)
\[
-50x^7 + 25x
\]
**Step 1: Identify the GCF of the coefficients and the variables.**
1. The coefficients are -50 and 25. The GCF of -50 and 25 is 25.
2. The variable part has \(x^7\) and \(x^1\). The GCF is \(x^1 = x\).
**Step 2: Combine the GCF.**
The overall GCF is:
\[
25x
\]
**Step 3: Factor out the GCF from the expression.**
Now we can factor out \(25x\):
\[
-50x^7 + 25x = 25x(-2x^6 + 1)
\]
So, we have:
**GCF: \(25x\)**
**Factored form: \(25x(-2x^6 + 1)\)**
**Final Answer:**
- GCF: \(25x\)
- Factored form: \(25x(-2x^6 + 1)\)
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.