Question

Classify each Polynomial by degree and number of terms.1. X^3 + 5x 2. X^2 - 2x - 1 3. 5x^4 4. 6x^5 - 3x^2 + 7x + 9 5. -11x - 5 6. 4x^2 + 10 7. 128. 9x^3 - x^2 + 6x - 1]9. -3x^5 + 6x^4 v- 8THESE ARE THE OPTIONS Degree Name using degree 0 Constant 1 Linear 2 quadratic 3 Cubic 4 quartic 5 quintic 6 6th degreeTHESE ARE ALSO THE OTHER OPTIONSTerms NAME USING # OF TERMS1, monomial 2 , binomial3 trinomial4 or more polynomial

Answer 1

`\begin{gathered} x^3+5x\text{ has a highest degree of 3 (from }x^3\text{) and is therefore cubic.} \\ \text{It has only two terms which makes it a binomial} \end{gathered}`
`\begin{gathered} x^2-2x-1\text{ has a highest degree of 2 (from }x^2\text{) and is therefore quadratic} \\ \text{It has three terms which makes it trinomial} \end{gathered}`
`\begin{gathered} 5x^4\text{ has a highest degree of 4, and is therefore quartic.} \\ \text{Since it has only one term, then this is a monomial} \end{gathered}`
`\begin{gathered} 6x^5-3x^2+7x+9\text{ has a highest degree of 5 (from }6x^5\text{) therefore it is quintic} \\ \text{It has four terms, and is a polynomial} \end{gathered}`
`\begin{gathered} -11x-5\text{ has a highest degree of 1 (from }-11x\text{) and is therefore linear.} \\ \text{It has two terms which makes it binomial.} \end{gathered}`
`\begin{gathered} 4x^2+10\text{ has a highest degree of 2 (from }4x^2\text{) and is therefore quadratic.} \\ \text{It has two terms which makes it binomial.} \end{gathered}`
`\begin{gathered} 12\text{ has no variable which makes it a constant.} \\ \text{Since it is the only term, then this is a monomial} \end{gathered}`
`\begin{gathered} 9x^3-x^2+6x-1\text{ has a highest degree of 3 (from }9x^3\text{) which makes it cubic} \\ \text{It has 4 terms and is thus a polynomial} \end{gathered}`
`\begin{gathered} -3x^5+6x^4v-8\text{ has a highest degree of 5 (both from }-3x^5\text{ and }6x^4v\text{)} \\ \text{This makes it a quintic} \\ \text{Since it has three terms then this is a trinomial} \end{gathered}`