what is true about the sum of the two polynomials? 6s²t - 2st² 4s²t - 3st² the sum is a binomial with a…

what is true about the sum of the two polynomials? 6s²t - 2st² 4s²t - 3st² the sum is a binomial with a degree of 2. the sum is a binomial with a degree of 3. the sum is a trinomial with a degree of 2. the sum is a trinomial with a degree of 3.
Answer
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 (a binomial), and the degree of a term in a polynomial in two variables $s$ and $t$ is the sum of the exponents of the variables in that 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.