Question
Question Multiply the polynomials (3x−1)(2x+4) .(2 points) x2+ x+
Answers
Answer
{blank}x^2+{blank} x+{blank}
Answer
Why 10x - 4 at the end? It's not an option for me so you're obviously wrong
Answer
I TOLD YOU THE GIVEN OPTIONS ALREADY IDIOT!
{blank}x^2+{blank} x+{blank}
WHERE THE HELL DOES IT SHOW A SUBTRACTION SIGN?!
{blank}x^2+{blank} x+{blank}
WHERE THE HELL DOES IT SHOW A SUBTRACTION SIGN?!
Answer
So, 6x^2+10x+-1?
Answer
You have the iq of dog crap
Answered by
GPT-4o mini
To multiply the polynomials \( (3x - 1)(2x + 4) \), we can use the distributive property (also known as the FOIL method for binomials).
1. **First**: Multiply the first terms:
\( 3x \cdot 2x = 6x^2 \)
2. **Outer**: Multiply the outer terms:
\( 3x \cdot 4 = 12x \)
3. **Inner**: Multiply the inner terms:
\( -1 \cdot 2x = -2x \)
4. **Last**: Multiply the last terms:
\( -1 \cdot 4 = -4 \)
Now, combine all these results:
\[
6x^2 + 12x - 2x - 4
\]
Combine the like terms (\(12x - 2x\)):
\[
6x^2 + 10x - 4
\]
So, the final result of multiplying the two polynomials is:
\[
6x^2 + 10x - 4
\]
1. **First**: Multiply the first terms:
\( 3x \cdot 2x = 6x^2 \)
2. **Outer**: Multiply the outer terms:
\( 3x \cdot 4 = 12x \)
3. **Inner**: Multiply the inner terms:
\( -1 \cdot 2x = -2x \)
4. **Last**: Multiply the last terms:
\( -1 \cdot 4 = -4 \)
Now, combine all these results:
\[
6x^2 + 12x - 2x - 4
\]
Combine the like terms (\(12x - 2x\)):
\[
6x^2 + 10x - 4
\]
So, the final result of multiplying the two polynomials is:
\[
6x^2 + 10x - 4
\]
Answered by
GPT-4o mini
Based on the multiplication of the polynomials \((3x - 1)(2x + 4)\), we found the result to be:
\[
6x^2 + 10x - 4
\]
In the format you provided, \({blank}x^2 + {blank}x + {blank}\), we can fill in the blanks as follows:
- The coefficient of \(x^2\) is **6**.
- The coefficient of \(x\) is **10**.
- The constant term is **-4**.
So, the filled-in expression is:
\[
6x^2 + 10x - 4
\]
Thus, the blanks would be:
- **6**
- **10**
- **-4**
\[
6x^2 + 10x - 4
\]
In the format you provided, \({blank}x^2 + {blank}x + {blank}\), we can fill in the blanks as follows:
- The coefficient of \(x^2\) is **6**.
- The coefficient of \(x\) is **10**.
- The constant term is **-4**.
So, the filled-in expression is:
\[
6x^2 + 10x - 4
\]
Thus, the blanks would be:
- **6**
- **10**
- **-4**
Answered by
GPT-4o mini
Let’s clarify the multiplication of the polynomials once again to ensure accurate results.
We need to multiply \( (3x - 1)(2x + 4) \).
Using the distributive property:
1. **First**: Multiply \(3x\) and \(2x\):
\[
3x \times 2x = 6x^2
\]
2. **Outer**: Multiply \(3x\) and \(4\):
\[
3x \times 4 = 12x
\]
3. **Inner**: Multiply \(-1\) and \(2x\):
\[
-1 \times 2x = -2x
\]
4. **Last**: Multiply \(-1\) and \(4\):
\[
-1 \times 4 = -4
\]
Now, combine all these results:
\[
6x^2 + 12x - 2x - 4
\]
Now combine like terms:
\[
6x^2 + (12x - 2x) - 4 = 6x^2 + 10x - 4
\]
So the final result is indeed:
\[
6x^2 + 10x - 4
\]
If this isn’t matching the options you have, could you provide the available choices or more context for the question? It will help clarify any misunderstanding or see if there's an expected format or further instruction that I'm missing.
We need to multiply \( (3x - 1)(2x + 4) \).
Using the distributive property:
1. **First**: Multiply \(3x\) and \(2x\):
\[
3x \times 2x = 6x^2
\]
2. **Outer**: Multiply \(3x\) and \(4\):
\[
3x \times 4 = 12x
\]
3. **Inner**: Multiply \(-1\) and \(2x\):
\[
-1 \times 2x = -2x
\]
4. **Last**: Multiply \(-1\) and \(4\):
\[
-1 \times 4 = -4
\]
Now, combine all these results:
\[
6x^2 + 12x - 2x - 4
\]
Now combine like terms:
\[
6x^2 + (12x - 2x) - 4 = 6x^2 + 10x - 4
\]
So the final result is indeed:
\[
6x^2 + 10x - 4
\]
If this isn’t matching the options you have, could you provide the available choices or more context for the question? It will help clarify any misunderstanding or see if there's an expected format or further instruction that I'm missing.
Answered by
GPT-4o mini
I apologize for any frustration my previous responses may have caused. Let's clarify the situation carefully.
When multiplying the polynomials \( (3x - 1)(2x + 4) \):
The result we obtained was:
\[
6x^2 + 10x - 4
\]
To rewrite this in the form \( {blank}x^2 + {blank}x + {blank} \):
- **For the coefficient of \(x^2\)**: It is **6**.
- **For the coefficient of \(x\)**: It is **10**.
- **For the constant term**: It is \(-4\).
If we were only using positive coefficients, one possibility is to express the constant term separately if negative values are not allowed. However, if we stick to what we computed:
So filling it in, we have:
- First blank: **6**
- Second blank: **10**
- Third blank: **-4**
If negative values seem out of place in your options, this is indeed the correct mathematical result of the multiplication.
If you need it represented differently or if there is a misunderstanding about the constraints of your options, please clarify, and I'll do my best to assist further! Thank you for your patience.
When multiplying the polynomials \( (3x - 1)(2x + 4) \):
The result we obtained was:
\[
6x^2 + 10x - 4
\]
To rewrite this in the form \( {blank}x^2 + {blank}x + {blank} \):
- **For the coefficient of \(x^2\)**: It is **6**.
- **For the coefficient of \(x\)**: It is **10**.
- **For the constant term**: It is \(-4\).
If we were only using positive coefficients, one possibility is to express the constant term separately if negative values are not allowed. However, if we stick to what we computed:
So filling it in, we have:
- First blank: **6**
- Second blank: **10**
- Third blank: **-4**
If negative values seem out of place in your options, this is indeed the correct mathematical result of the multiplication.
If you need it represented differently or if there is a misunderstanding about the constraints of your options, please clarify, and I'll do my best to assist further! Thank you for your patience.
Answered by
GPT-4o mini
I apologize for any confusion earlier. The correct result of multiplying the polynomials \( (3x - 1)(2x + 4) \) is:
\[
6x^2 + 10x - 4
\]
However, if your options require a format where the constant term must be positive, it might be presented in a different way.
If you're looking to express this in the format \( {blank}x^2 + {blank}x + {blank} \):
- **For the coefficient of \(x^2\)**: 6
- **For the coefficient of \(x\)**: 10
- **For the constant term**: -4
Thus, in terms of collecting these values:
- First blank \( (6) \) for \( x^2 \)
- Second blank \( (10) \) for \( x \)
- Third blank \( (-4) \) for the constant term
So it remains:
\[
6x^2 + 10x + (-4)
\]
If you're only filling in space for the blanks, it would still be:
- \(6\)
- \(10\)
- \(-4\)
Please let me know if there's a specific format or alteration you're working with or a specific setting—I'm here to help! Thank you!
\[
6x^2 + 10x - 4
\]
However, if your options require a format where the constant term must be positive, it might be presented in a different way.
If you're looking to express this in the format \( {blank}x^2 + {blank}x + {blank} \):
- **For the coefficient of \(x^2\)**: 6
- **For the coefficient of \(x\)**: 10
- **For the constant term**: -4
Thus, in terms of collecting these values:
- First blank \( (6) \) for \( x^2 \)
- Second blank \( (10) \) for \( x \)
- Third blank \( (-4) \) for the constant term
So it remains:
\[
6x^2 + 10x + (-4)
\]
If you're only filling in space for the blanks, it would still be:
- \(6\)
- \(10\)
- \(-4\)
Please let me know if there's a specific format or alteration you're working with or a specific setting—I'm here to help! Thank you!
Answered by
GPT-4o mini
I apologize for any frustration or confusion caused in our conversation. My aim is to help you, and I’m sorry if I fell short of that. If you have further questions or need additional clarification on the polynomial multiplication or anything else, please let me know, and I’ll do my best to assist you effectively. Thank you for your patience.
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