what is true about the sum of the two polynomials?\n6s²t - 2st²\n4s²t - 3st²\nthe sum is a binomial with a…

what is true about the sum of the two polynomials?\n6s²t - 2st²\n4s²t - 3st²\nthe sum is a binomial with a degree of 2.\nthe sum is a binomial with a degree of 3.\nthe sum is a trinomial with a degree of 2.\nthe sum is a trinomial with a degree of 3.

what is true about the sum of the two polynomials?\n6s²t - 2st²\n4s²t - 3st²\nthe sum is a binomial with a degree of 2.\nthe sum is a binomial with a degree of 3.\nthe sum is a trinomial with a degree of 2.\nthe 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 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 each term: for $10s^{2}t$, the degree is $2 + 1=3$, 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.