QUESTION IMAGE
Question
25
drag each label to the correct location on the table. each label can be used more than once, but not all labels will be used.
complete the table by classifying the polynomials by degree and number of terms.
quadratic trinomial linear monomial exponential constant binomial
polynomial name using degree name using number of terms
$2x^2$
$-2$
$3x - 9$
$-3x^2 - 6x + 9$
Step1: Analyze \(2x^2\)
- Degree: The highest power of \(x\) is 2, so it's quadratic.
- Number of Terms: Only one term (\(2x^2\)), so monomial.
Step2: Analyze \(-2\)
- Degree: A constant term has degree 0, so it's constant.
- Number of Terms: One term (\(-2\)), so monomial.
Step3: Analyze \(3x - 9\)
- Degree: The highest power of \(x\) is 1, so it's linear.
- Number of Terms: Two terms (\(3x\) and \(-9\)), so binomial.
Step4: Analyze \(-3x^2 - 6x + 9\)
- Degree: The highest power of \(x\) is 2, so it's quadratic.
- Number of Terms: Three terms (\(-3x^2\), \(-6x\), \(9\)), so trinomial.
| Polynomial | Name Using Degree | Name Using Number of Terms |
|---|---|---|
| \(-2\) | constant | monomial |
| \(3x - 9\) | linear | binomial |
| \(-3x^2 - 6x + 9\) | quadratic | trinomial |
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The table is completed as shown above.