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

Answer:

Step-by-step explanation:

$4x^{2} + x - 3 \ Quadratic \ polynomial \ [ highest \ exponent \ is \ 2 ]$

$\dfrac{3}{5}v^{3}(3v^{2} -9)=\dfrac{3}{5}v^{3}*3v^{2}-\dfrac{3}{5}v^{3}*9=\dfrac{9}{5}v^{5}-\dfrac{27}{5}v^{3}$

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