Answer:
The given polynomial is a third degree polynomial.
Step-by-step explanation:
Given polynomial:
[tex]t-4t^2+2t^3[/tex]
To find the degree of the polynomial.
Solution:
The degree of the polynomial is defined by the highest exponent of the variable in the given polynomial. In other words, it is the exponent of the highest degree term.
For a polynomial:
[tex]x^a+x^b+x^c[/tex]
where [tex]a>b>c[/tex], the degree of the polynomial can be given as the a[tex]th[/tex] degree as [tex]a[/tex] is the highest exponent of the variable [tex]x[/tex].
Thus, for the polynomial:
[tex]t-4t^2+2t^3[/tex]
The leading term is [tex]2t^3[/tex] since the term has the highest degree of the variable [tex]t[/tex] and the degree of the polynomial = 3
