Question

What is the name and degree of this polynomial? - 3y^4 + 5y + 18 - 10y^2

a) Name: Quartic Degree: 4
b) Name: Cubic Degree: 3
c) Name: Quadratic Degree: 2
d) Name: Linear Degree: 1

Answer 1

The given polynomial is named quartic due to the highest degree being 4, thus the correct answer is (a) Name: Quartic Degree: 4.

Step-by-step explanation:

The polynomial in question is -3y^4 + 5y + 18 - 10y^2. To determine the name and degree, we need to first rearrange it in descending order of powers. The rearranged polynomial will be -3y^4 - 10y^2 + 5y + 18. The highest degree of any term in the polynomial is 4, which comes from the term -3y^4. Therefore, the name of this polynomial is quartic, and its degree is 4. The correct answer to the question is (a).