Question

What is the degree of the following polynomial? Enter the numeric answer only. -9x^4+3x^2-7

Answer 1

here is an example on how to find the degree of a polynomial.

Definition: The degree is the term with the greatest exponent

Recall that for y2, y is the base and 2 is the exponent

Example #1:

4x2 + 6x + 5

This polynomial has three terms. The first one is 4x2, the second is 6x, and the third is 5

The exponent of the first term is 2

The exponent of the second term is 1 because 6x = 6x1

The exponent of the third term is 0 because 5 = 5x0

What? 5x0 = 5?

Well, anything with an exponent of 0 is always equal to 1

Thus, 5x0 = 5 × x0 = 5 × 1 = 5

Since the highest exponent is 2, the degree of 4x2 + 6x + 5 is 2

Hope you find this useful.

Answer 2

degree is value of highest exponent

Answer 3

so in this case. your highest exponent is 4.

Answer 4

so its 4?

Answer 5

okay now try this one

Answer 6

ok

Answer 7

2y6 + 1y5 + -3y4 + 7y3 + 9y2 + y + 6

Answer 8

what would be the highest exponent in that polynomial?

Answer 9

6

Answer 10

2y^6 + 1y^5 + -3y^4 + 7y^3 + 9y^2 + y + 6 *revise*

Answer 11

very good. congrats you got it down