Question

what is true about the sum of the two polynomials?
$6s^{2}t - 2st^{2}$
$4s^{2}t - 3st^{2}$
the sum is a binomial with a degree of 2.
the sum is a trinomial with a degree of 3.
the sum is a trinomial with a degree of 2.
the sum is a binomial with a degree of 3.

Explanation:

Step1: Write the sum expression

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

Step2: Combine like terms

$6s^2t + 4s^2t - 2st^2 - 3st^2 = 10s^2t - 5st^2$

Step3: Identify type and degree

Count terms: 2 (binomial). Degree of $10s^2t$: $2+1=3$; degree of $-5st^2$: $1+2=3$. Highest degree is 3.

Answer:

The sum is a binomial with a degree of 3.