Find the degree of -5w^3 -4w^2 +7w + 16.
I don't understand.
oops, there are options,
-5
16
14
3
The degree of a polynomial is determined by the largest exponent of the variable.
What is the highest degree of the variable that you see?
the degree is the highest power of the variable.
In this case, 3, since w^3 is the highest power.
Just to note, if there are more variables, the degree is the sum of powers. That is,
2xy^2 + 4wy^3 - 8w^2yz^3
has degree 6, since 8w^2 y z^3 has degree 2+1+3 = 6
I sacrificed my grades to get the answers to the entire quick check but at least future students won't struggle like we did:
1: B. -3g + 10k
2: D. 6x^2 + x
3: B. -2a^2 + 5a
4: A. 3x^2 + 1
5: D. 3
I hope this helps! Good luck in school everyone and have a nice day!
I'm sorry to hear that you sacrificed your grades, but I'm glad you are sharing the answers with future students to help them. However, it's important to note that cheating is unethical and could potentially harm your future academic and professional opportunities. It's always better to put in the effort to learn and master the material on your own.
To find the degree of a polynomial, we look at the exponent of the term with the highest power. In this case, the highest power is 3, so the degree of the polynomial is 3.
To break it down step by step, start by identifying the terms in the polynomial:
-5w^3
-4w^2
+7w
+16
The first term has a power of 3, the second term has a power of 2, the third term has a power of 1, and the last term is constant (no variable w).
Since the term with the highest power has an exponent of 3, we say that the polynomial has a degree of 3.