what is true about the sum of the two polynomials?\n6s²t - 2st²\n4s²t - 3st²\no the sum is a binomial with a…

what is true about the sum of the two polynomials?\n6s²t - 2st²\n4s²t - 3st²\no the sum is a binomial with a degree of 2.\no the sum is a binomial with a degree of 3.\no the sum is a trinomial with a degree of 2.\no the sum is a trinomial with a degree of 3.
Answer
Explanation:
Step1: Add the 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 sums of like - terms
$6s^{2}t+4s^{2}t = 10s^{2}t$ and $-2st^{2}-3st^{2}=-5st^{2}$, so the sum is $10s^{2}t-5st^{2}$
Step3: Determine the type and degree of the polynomial
The polynomial $10s^{2}t - 5st^{2}$ has two terms (a binomial). The degree of $10s^{2}t$ is $2 + 1=3$ and the degree of $-5st^{2}$ is $1+2 = 3$. The degree of the polynomial is 3.
Answer:
The sum is a binomial with a degree of 3.