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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.\newline20x83x4+9 20 x^{8}-3 x^{4}+9

Full solution

Q. Name the type of polynomial and give its degree.\newline20x83x4+9 20 x^{8}-3 x^{4}+9
  1. Identify Degrees: Identify the degree of each term in the polynomial.\newlineDegree of 20x820x^8: 88\newlineDegree of 3x4-3x^4: 44\newlineDegree of 99: 00
  2. Determine Highest Degree: Determine the highest degree among the terms.\newlineThe degrees are 88, 44, and 00. The highest degree is 88.
  3. Identify Polynomial Type: Identify the type of polynomial based on the number of terms.\newlineThe polynomial 20x83x4+920x^8 - 3x^4 + 9 has 33 terms, making it a trinomial.

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