Question

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 51:53 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 1

The sum is a trinomial with a degree of 3.

Explanation:

The given polynomials are:

`6 {s}^(2) - 2s {t}^(2)`

and

`4 {s}^(2) t - 3 {s} {t}^(2)`

We want to identify which of the given options is true.

We perform the addition to obtain:

`6 {s}^(2) - 2s {t}^(2) + 4 {s}^(2) t - 3 {s} {t}^(2)`

Regroup the terms to get:

`6 {s}^(2) + 4 {s}^(2) t - 3 {s} {t}^(2) - 2s {t}^(2)`

We combine the similar terms to get:

`6 {s}^(2) + 4 {s}^(2) t - 5s {t}^(2)`

The simplified expresion is a trinomial.

The degree=1+2=3