The answer to the question
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Answer:
Look below :)
Step-by-step explanation:
1. coefficient
2. constant (it's referred to as a constant because the value never changes)
3. This polynomial has 4 terms. We know this by counting them. 5x^3 is one term, -x^2 is the second term, 5x is the third term, and -8 is the fourth term.
4. In descending order: 2, 1, 3, 4. The degree is the same value as the exponent. For the last term, x^2y^2, you add the values of the exponents together to get the degree.
5. -2 is the coefficient. The term with the third degree, or has 3 as the exponent, is -2x^3.
6. 1 is the coefficient. The term with the second degree is x^2. When the coefficient is 1, usually the 1 isn't written because any number multiplied by 1 equals that number (x * 1 = x)
7. 5 is the degree of the polynomial. To find the degree of a polynomial, find whichever term has the highest value for an exponent. In this case, 5 is the highest exponent.
8. 2 is the degree of this polynomial. Although none of the terms may look like they have a degree of 2, in order to find the actual degree of 4xy you have to add the values of the degree of x and y to find the actual degree. If x and y both have a degree of 1, you add those together to make 2.
9. 2 - 7
+ 5x - 15. To order a polynomial from highest to lowest you have to order the terms in decreasing value of their exponents.
10. -4 + 2xy + 5x + 7.
I hope this helps :)