Question

Polynomials are named by the highest exponent of the variable as well as the number of terms. For example, x^5-3x^2-1 is a quintic trinomial. Quintic is the exponent of 5, which is the highest while trinomial implies three terms. Using the above example, name the following polynomial expressions: 4x^2+x-3

3/5v^3(3v^2-9)
36m^6 - 9n^2​

Answer 1

Explanation:

`4x^(2) + x - 3 \ Quadratic \ polynomial \ [ highest \ exponent \ is \ 2 ]`

`(3)/(5)v^(3)(3v^(2) -9)=(3)/(5)v^(3)*3v^(2)-(3)/(5)v^(3)*9=(9)/(5)v^(5)-(27)/(5)v^(3)`

Highest exponent is 5 and number of terms is 2. So, quintic binomial

`36m^(6)-9n^(2)`

Highest exponent is 6 and two terms. So, hexic binomial