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Name the type of polynomial and give its degree.

20x^(8)-3x^(4)+9

Name the type of polynomial and give its degree. $\newline$ $20 x^{8}-3 x^{4}+9$

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Polynomial vocabulary

Full solution

Q. Name the type of polynomial and give its degree.

\newline

20 x^{8}-3 x^{4}+9

Identify Degrees: Identify the degree of each term in the polynomial. $\newline$ Degree of $20x^8$ : $8$ $\newline$ Degree of $-3x^4$ : $4$ $\newline$ Degree of $9$ : $0$
Determine Highest Degree: Determine the highest degree among the terms. $\newline$ The degrees are $8$ , $4$ , and $0$ . The highest degree is $8$ .
Identify Polynomial Type: Identify the type of polynomial based on the number of terms. $\newline$ The polynomial $20x^8 - 3x^4 + 9$ has $3$ terms, making it a trinomial.

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