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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.

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kudzordzifrancis

Answer:

The sum is a trinomial with a degree of 3.

Step-by-step explanation:

The given polynomials are:

[tex]6 {s}^{2} - 2s {t}^{2} [/tex]

and

[tex]4 {s}^{2} t - 3 {s} {t}^{2} [/tex]

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

We perform the addition to obtain:

[tex]6 {s}^{2} - 2s {t}^{2} + 4 {s}^{2} t - 3 {s} {t}^{2} [/tex]

Regroup the terms to get:

[tex]6 {s}^{2} + 4 {s}^{2} t - 3 {s} {t}^{2} - 2s {t}^{2}[/tex]

We combine the similar terms to get:

[tex]6 {s}^{2} + 4 {s}^{2} t - 5s {t}^{2}[/tex]

The simplified expresion is a trinomial.

The degree=1+2=3

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