346,970 views
8 votes
8 votes
What is the degree of the following
polynomial:
3x^5 + 4x^3 + 8x^2 - 14x +9

User Choxx
by
2.9k points

1 Answer

23 votes
23 votes

Answer:

Explanation:
Here is an example:
Use this step by step explanation in your equation to help you find the answer.
For polynomial 2x2 - 3x5 + 5x6.

We observe that the above polynomial has three terms. Here the first term is 2x2, the second term is -3x5 and the third term is 5x6.

Now we will determine the exponent of each term.

(i) the exponent of the first term 2x2 = 2

(ii) the exponent of the second term 3x5 = 5

(iii) the exponent of the third term 5x6 = 6

Since, the greatest exponent is 6, the degree of 2x2 - 3x5 + 5x6 is also 6.

Therefore, the degree of the polynomial 2x2 - 3x5 + 5x6 = 6.

User Andrea Moro
by
3.1k points