what is true about the sum of the two polynomials?\n$6s^{2}t - 2st^{2}$\n$4s^{2}t - 3st^{2}$\nthe sum is a…

Explanation:

Step1: Add like - terms

$(6s^{2}t - 2st^{2})+(4s^{2}t - 3st^{2})=(6s^{2}t+4s^{2}t)+(- 2st^{2}-3st^{2})$

Step2: Simplify the sum

$10s^{2}t - 5st^{2}$

Step3: Determine the type and degree

The resulting polynomial $10s^{2}t - 5st^{2}$ has two terms (binomial). The degree of a term in a polynomial in two variables $s$ and $t$ is the sum of the exponents of the variables in the term. For $10s^{2}t$, the degree is $2 + 1=3$, and for $-5st^{2}$, the degree is $1+2 = 3$. So the degree of the polynomial is 3.

Answer:

The sum is a binomial with a degree of 3.