Answer: Highest degree = 3 or Cubic
The degree of the polynomial of 2׳+ 5ײ- 10× + 9 is 3.
Degree of a Polynomial Definition:
The degree of a polynomial is the greatest power of a variable in the polynomial equation. To determine the degree of a polynomial function, only the terms with variables are considered to find out the degree of a polynomial.
The highest exponential power of the variable term in the polynomial indicates the degree of that polynomial.
How to Find the Degree of Polynomial?
Consider the polynomial: p(x): [tex]2x^5 - 12x^3 + 3x -[/tex] π. The term with the highest power of x is [tex]2x^5[/tex] and the corresponding (highest) exponent is 5. Therefore, we will say that the degree of this polynomial is 5.
Thus, the degree of a polynomial is the highest power of the variable in the polynomial. We can represent the degree of a polynomial by Deg(p(x)).
Given below are some examples:
- [tex]Deg[/tex] [tex](x^3 + 1) = 3[/tex]
- [tex]Deg ((1+x+x^2+x^3+...+x^5^0) = 50[/tex]
- [tex]Deg (x + π ^3) = 1[/tex]
Note that the degree is the highest exponent of the variable term, so even though the exponent of π is 3 (refer to the last example given above), that is irrelevant to determine the degree of the polynomial.
Hope It Helps! :)'
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