Asked by Honeybeee
Simplify javascript:void(0);4x2−12x+244x . Write your answer in standard form.(1 point) Remaining Attempts : 3
Answers
Answered by
GPT-4o mini
To simplify the expression `4x^2 - 12x + 244x`, we can first combine the terms that involve `x`:
1. Combine like terms:
\(-12x + 244x = 232x\)
Now, we can rewrite the expression as:
\[
4x^2 + 232x
\]
Next, we can factor it out if possible. The common factor here is `4`:
\[
4(x^2 + 58x)
\]
Now, the expression is simplified to:
\[
4(x^2 + 58x)
\]
In standard form, your answer is:
\[
4x^2 + 232x
\]
If you only need the standard form without factoring, it remains:
\[
4x^2 + 232x
\]
So the final answer in standard form is:
**Answer: \(4x^2 + 232x\)**
1. Combine like terms:
\(-12x + 244x = 232x\)
Now, we can rewrite the expression as:
\[
4x^2 + 232x
\]
Next, we can factor it out if possible. The common factor here is `4`:
\[
4(x^2 + 58x)
\]
Now, the expression is simplified to:
\[
4(x^2 + 58x)
\]
In standard form, your answer is:
\[
4x^2 + 232x
\]
If you only need the standard form without factoring, it remains:
\[
4x^2 + 232x
\]
So the final answer in standard form is:
**Answer: \(4x^2 + 232x\)**
Answered by
GPT-4o mini
I apologize for any confusion in my previous response. Let's simplify the expression step by step again to ensure correctness.
Given the expression:
\[
4x^2 - 12x + 244x
\]
First, let's combine like terms. In this expression, we have two terms involving \(x\):
1. \(-12x\)
2. \(+244x\)
Combining those:
\[
-12x + 244x = 232x
\]
Now, we rewrite the expression substituting the like terms back:
\[
4x^2 + 232x
\]
This is already in standard form \(Ax^2 + Bx + C\), where:
- \(A = 4\)
- \(B = 232\)
- \(C = 0\)
If you need additional simplification, we can factor out the common factor of 4 from both terms:
\[
4(x^2 + 58x)
\]
However, since you need it in standard form, the original expression simplifies to:
**Final Answer: \(4x^2 + 232x\)**
If this is not what you were looking for, please clarify what part you find incorrect or how you'd like to approach the simplification differently!
Given the expression:
\[
4x^2 - 12x + 244x
\]
First, let's combine like terms. In this expression, we have two terms involving \(x\):
1. \(-12x\)
2. \(+244x\)
Combining those:
\[
-12x + 244x = 232x
\]
Now, we rewrite the expression substituting the like terms back:
\[
4x^2 + 232x
\]
This is already in standard form \(Ax^2 + Bx + C\), where:
- \(A = 4\)
- \(B = 232\)
- \(C = 0\)
If you need additional simplification, we can factor out the common factor of 4 from both terms:
\[
4(x^2 + 58x)
\]
However, since you need it in standard form, the original expression simplifies to:
**Final Answer: \(4x^2 + 232x\)**
If this is not what you were looking for, please clarify what part you find incorrect or how you'd like to approach the simplification differently!
Answered by
GPT-4o mini
I apologize for the oversight. Let's go through the problem carefully step by step.
We start with the expression:
\[
4x^2 - 12x + 244x
\]
Now, let's carefully combine the linear \(x\) terms:
1. Combine the coefficients of \(x\):
\[
-12x + 244x = (244 - 12)x = 232x
\]
Thus, our expression becomes:
\[
4x^2 + 232x
\]
Next, we can rewrite it in a standard polynomial form, which is:
\[
4x^2 + 232x + 0
\]
This expression is already in standard form, which is generally represented as \(Ax^2 + Bx + C\), where:
- \(A = 4\)
- \(B = 232\)
- \(C = 0\)
If there was a misunderstanding about simplifying further, we could factor the expression:
1. Factor out the greatest common factor of \(4\):
\[
4(x^2 + 58x)
\]
However, if you're looking for just the standard polynomial form without factoring or further manipulation:
**Final Answer in Standard Form:**
\[
4x^2 + 232x
\]
If this still doesn't address the issue you're seeing, please let me know what context or instruction I may have missed, and I'm here to help!
We start with the expression:
\[
4x^2 - 12x + 244x
\]
Now, let's carefully combine the linear \(x\) terms:
1. Combine the coefficients of \(x\):
\[
-12x + 244x = (244 - 12)x = 232x
\]
Thus, our expression becomes:
\[
4x^2 + 232x
\]
Next, we can rewrite it in a standard polynomial form, which is:
\[
4x^2 + 232x + 0
\]
This expression is already in standard form, which is generally represented as \(Ax^2 + Bx + C\), where:
- \(A = 4\)
- \(B = 232\)
- \(C = 0\)
If there was a misunderstanding about simplifying further, we could factor the expression:
1. Factor out the greatest common factor of \(4\):
\[
4(x^2 + 58x)
\]
However, if you're looking for just the standard polynomial form without factoring or further manipulation:
**Final Answer in Standard Form:**
\[
4x^2 + 232x
\]
If this still doesn't address the issue you're seeing, please let me know what context or instruction I may have missed, and I'm here to help!
Answered by
GPT-4o mini
I apologize for the confusion in my previous messages. Let's re-evaluate the expression step by step clearly and ensure correctness.
### Expression Given:
**4x^2 - 12x + 244x**
### Step 1: Combine Like Terms
We need to combine \(-12x\) and \(+244x\):
\[
4x^2 + (-12x + 244x)
\]
\[
= 4x^2 + 232x
\]
### Step 2: Final Form
This expression is already in standard polynomial form \(Ax^2 + Bx + C\) where:
- \(A = 4\)
- \(B = 232\)
- \(C = 0\)
Even with closer inspection, this still leads to the result:
\[
4x^2 + 232x
\]
### Simplification/Further Steps
If you're looking for anything beyond re-combining the like terms, such as factoring the quadratic or simplifying further, we can also assess that:
To factor out a common factor \(4\):
\[
4(x^2 + 58x)
\]
### Conclusion
Both forms, \(4x^2 + 232x\) and \(4(x^2 + 58x)\), represent the same mathematical expression. If there is a specific mistake or further simplification required that I'm not catching, please guide me, and I will resolve it accordingly. Thank you for your patience!
### Expression Given:
**4x^2 - 12x + 244x**
### Step 1: Combine Like Terms
We need to combine \(-12x\) and \(+244x\):
\[
4x^2 + (-12x + 244x)
\]
\[
= 4x^2 + 232x
\]
### Step 2: Final Form
This expression is already in standard polynomial form \(Ax^2 + Bx + C\) where:
- \(A = 4\)
- \(B = 232\)
- \(C = 0\)
Even with closer inspection, this still leads to the result:
\[
4x^2 + 232x
\]
### Simplification/Further Steps
If you're looking for anything beyond re-combining the like terms, such as factoring the quadratic or simplifying further, we can also assess that:
To factor out a common factor \(4\):
\[
4(x^2 + 58x)
\]
### Conclusion
Both forms, \(4x^2 + 232x\) and \(4(x^2 + 58x)\), represent the same mathematical expression. If there is a specific mistake or further simplification required that I'm not catching, please guide me, and I will resolve it accordingly. Thank you for your patience!
Answered by
GPT-4o mini
Let's take another careful look at the expression step-by-step to ensure we provide the correct simplified form.
### Given Expression:
**4x² - 12x + 244x**
### Step 1: Combine Like Terms
- Combine \(-12x\) and \(+244x\).
\[
-12x + 244x = 232x
\]
### Step 2: Rewrite the Expression
Now, substitute the combined like terms back into the expression:
\[
4x^2 + 232x
\]
### Final Result
The expression in standard form is:
\[
4x^2 + 232x
\]
### Verification
If you look for the coefficients:
- The coefficient of \(x^2\) (A) is **4**.
- The coefficient of \(x\) (B) is **232**.
- The constant term (C) is **0**.
This matches the standard polynomial form \(Ax^2 + Bx + C\):
**Final Answer: \(4x^2 + 232x\)**
### Additional Step: Factor (if required)
If factoring is required, you can factor out the greatest common factor (GCF) which is 4:
\[
4(x^2 + 58x)
\]
### Conclusion
If there's any misunderstanding about what you are looking for in this simplification process, please clarify, and I will be happy to assist further! Thank you for your patience.
### Given Expression:
**4x² - 12x + 244x**
### Step 1: Combine Like Terms
- Combine \(-12x\) and \(+244x\).
\[
-12x + 244x = 232x
\]
### Step 2: Rewrite the Expression
Now, substitute the combined like terms back into the expression:
\[
4x^2 + 232x
\]
### Final Result
The expression in standard form is:
\[
4x^2 + 232x
\]
### Verification
If you look for the coefficients:
- The coefficient of \(x^2\) (A) is **4**.
- The coefficient of \(x\) (B) is **232**.
- The constant term (C) is **0**.
This matches the standard polynomial form \(Ax^2 + Bx + C\):
**Final Answer: \(4x^2 + 232x\)**
### Additional Step: Factor (if required)
If factoring is required, you can factor out the greatest common factor (GCF) which is 4:
\[
4(x^2 + 58x)
\]
### Conclusion
If there's any misunderstanding about what you are looking for in this simplification process, please clarify, and I will be happy to assist further! Thank you for your patience.
Answered by
GPT-4o mini
To simplify the expression \( \frac{4x^2 - 12x + 24}{4x} \), we can follow these steps:
### Step 1: Factor the numerator
First, we’ll factor the numerator, \( 4x^2 - 12x + 24 \).
1. **Factor out the greatest common factor (GCF)** from the numerator:
The GCF of \( 4x^2, -12x, \) and \( 24 \) is \( 4 \):
\[
4(x^2 - 3x + 6)
\]
Now, our expression becomes:
\[
\frac{4(x^2 - 3x + 6)}{4x}
\]
### Step 2: Cancel common factors
Now we can cancel the \( 4 \) from the numerator and denominator:
\[
\frac{x^2 - 3x + 6}{x}
\]
### Step 3: Simplify
We can divide each term in the numerator by \( x \):
\[
\frac{x^2}{x} - \frac{3x}{x} + \frac{6}{x} = x - 3 + \frac{6}{x}
\]
### Final Answer
So, the simplified expression is:
\[
x - 3 + \frac{6}{x}
\]
This is now in a more simplified form. If you have any further questions or need clarification, feel free to ask!
### Step 1: Factor the numerator
First, we’ll factor the numerator, \( 4x^2 - 12x + 24 \).
1. **Factor out the greatest common factor (GCF)** from the numerator:
The GCF of \( 4x^2, -12x, \) and \( 24 \) is \( 4 \):
\[
4(x^2 - 3x + 6)
\]
Now, our expression becomes:
\[
\frac{4(x^2 - 3x + 6)}{4x}
\]
### Step 2: Cancel common factors
Now we can cancel the \( 4 \) from the numerator and denominator:
\[
\frac{x^2 - 3x + 6}{x}
\]
### Step 3: Simplify
We can divide each term in the numerator by \( x \):
\[
\frac{x^2}{x} - \frac{3x}{x} + \frac{6}{x} = x - 3 + \frac{6}{x}
\]
### Final Answer
So, the simplified expression is:
\[
x - 3 + \frac{6}{x}
\]
This is now in a more simplified form. If you have any further questions or need clarification, feel free to ask!
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