Hello there! I can help you! A degree in a polynomial is the highest exponent out of the terms in that polynomial. For example, the degree for 3x³ + 2x² - 7 is 3, because that is the highest valued exponent. Let's solve each of these questions.
1. Okay, so there are 3 terms in the polynomial, which makes it a trinomial. That eliminates A, C, and D, because those answers do not say trinomials. The degree in the trinomial is 2, because that's the highest exponent in any of the terms. That is a quadratic trinomial. The answer is B.
2. Alright. So like the previous question, there are 3 terms in the polynomial. That eliminates answer choices C and D. The degree is 3, which makes it cubic. This is a cubic trinomial. The answer is A.
3. The degree is as stated above, the highest exponent in the polynomial out of the terms. 2 and 4 are not the degrees in this polynomial, so those answers are crossed out. It seems like the degree is 5. However, there is a monomial where two exponent amounts are together. In this case, we will combine the exponents by adding. 2 + 4 is 6. There. The degree is 6. The answer is D.
Note: Keep in mind that linear is where the highest degree is 1, quadratic is where the highest degree si 2, cubic is where the highest degree is 3, quartic is where the highest degree is 4, quintic is where the highest degree is 5. Quadratic and Quartic are not the same, and are easy to get mixed up due to the spelling. Be careful not to make an error on which is which, when it comes to those two.