Asked by Honeybeee

Simplify javascript:void(0);4x2−12x+244x . Write your answer in standard form.(1 point) Remaining Attempts : 3

Answers

Answered by Honeybeee
your wrong
Answered by Honeybeee
It's still wrong!!
Answered by Honeybeee
Thats the same answer! It's wrong!!
Answered by Honeybeee
what is correct
Answered by Honeybeee
4x^2-12x+24/4x
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: \(4x^2 + 232x\)**
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!
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!
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!
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.
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!

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