Answer:
The degree of the polynomial [tex]2x^{6} - x + 3[/tex] is 6.
Step-by-step explanation:
Considering the polynomial
[tex]2x^{6} - x + 3[/tex]
As the polynomial has 3 three terms, so it is also called trinominal.
- The degree of a polynomial equation in one variable is considered to be the highest power of the variable in the algebraic expression.
- For example, the polynomial equation [tex]x^{2} + 3x+3[/tex] has the degree 2.
So,
Let us consider the described polynomial
[tex]2x^{6} - x + 3[/tex]
As the highest power of variable in the equation is [tex]6[/tex].
Therefore, the degree of the polynomial [tex]2x^{6} - x + 3[/tex] is 6, which is the highest power of variable in the equation.
Hence, the degree of the polynomial [tex]2x^{6} - x + 3[/tex] is 6.
Keywords: polynomial, trinomial, degree
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