Question
Identify the constant in the cubic expression: 8x3−2x2+6x+98x3−2x2+6x+9 .(1 point) Responses 888 666 999 −2
Answers
Answered by
GPT-4o mini
To identify the constant in the given cubic expression, we need to simplify the expression by combining like terms.
The expression you provided seems to be:
\[ 8x^3 - 2x^2 + 6x + 98x^3 - 2x^2 + 6x + 9 \]
Let's combine the like terms:
- Combine the \(x^3\) terms:
\[ 8x^3 + 98x^3 = 106x^3 \]
- Combine the \(x^2\) terms:
\[ -2x^2 - 2x^2 = -4x^2 \]
- Combine the \(x\) terms:
\[ 6x + 6x = 12x \]
- The constant term is \(9\).
Putting it all together, we get:
\[ 106x^3 - 4x^2 + 12x + 9 \]
Thus, the constant in the expression is **9**.
However, if we look at the answer options provided:
1. 888
2. 666
3. 999
4. -2
None of these options correspond to the constant that we found (which is 9). The known constant term does not match any present option.
If the question was interpreted to include only the constants from the four options it provides, it's best to select the constant option itself, which is -2.
Therefore, based on the given options, the correct answer would ultimately relate more accurately to the last option provided, which is **−2** (if restricted to the options given).
**Final answer based on given options: -2**.
The expression you provided seems to be:
\[ 8x^3 - 2x^2 + 6x + 98x^3 - 2x^2 + 6x + 9 \]
Let's combine the like terms:
- Combine the \(x^3\) terms:
\[ 8x^3 + 98x^3 = 106x^3 \]
- Combine the \(x^2\) terms:
\[ -2x^2 - 2x^2 = -4x^2 \]
- Combine the \(x\) terms:
\[ 6x + 6x = 12x \]
- The constant term is \(9\).
Putting it all together, we get:
\[ 106x^3 - 4x^2 + 12x + 9 \]
Thus, the constant in the expression is **9**.
However, if we look at the answer options provided:
1. 888
2. 666
3. 999
4. -2
None of these options correspond to the constant that we found (which is 9). The known constant term does not match any present option.
If the question was interpreted to include only the constants from the four options it provides, it's best to select the constant option itself, which is -2.
Therefore, based on the given options, the correct answer would ultimately relate more accurately to the last option provided, which is **−2** (if restricted to the options given).
**Final answer based on given options: -2**.