what is the degree of the trinomial? a3+7ab-8b4

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the answer is 4

To determine the degree of a trinomial, we need to find the term with the highest degree.

The trinomial provided is: a^3 + 7ab - 8b^4

The first term, a^3, has a degree of 3 because the variable "a" is raised to the power of 3.

The second term, 7ab, has a degree of 2 because "a" is raised to the power of 1 and "b" is raised to the power of 1. When we multiply the exponents together, 1 * 1 = 1.

The third term, -8b^4, has a degree of 4 because the variable "b" is raised to the power of 4.

Now, we compare the degrees of each term. The highest degree among all the terms is 4. Therefore, the degree of the trinomial a^3 + 7ab - 8b^4 is 4.