To classify the polynomial [tex]\(2t^5\)[/tex], let's look at its characteristics step-by-step:
1. Identify the degree of the polynomial:
- The degree of a polynomial is determined by the highest power of the variable in the polynomial. In this case, the highest power of [tex]\( t \)[/tex] in [tex]\( 2t^5 \)[/tex] is [tex]\( 5 \)[/tex]. Therefore, the degree of this polynomial is [tex]\( 5 \)[/tex].
2. Classify the polynomial based on its degree:
- Polynomials are classified by their degrees. Here is a brief overview of the classification based on degree:
- Degree 0: Constant polynomial
- Degree 1: Linear polynomial
- Degree 2: Quadratic polynomial
- Degree 3: Cubic polynomial
- Degree 4: Quartic polynomial
- Degree 5: Quintic polynomial
- Since the given polynomial [tex]\(2t^5\)[/tex] has a degree of [tex]\(5\)[/tex], it is classified as a quintic polynomial.
So, the polynomial [tex]\(2t^5\)[/tex] is classified as a quintic polynomial.
