HOW TO FIND THE DEGREE OF A POLYNOMIAL

Write the degree of each polynomial.

Problem 1 :

3x⁴ + 2xyz + 5x² - 4

Solution :

Find the degree of each term :

So, the greatest degree is 4.

Problem 2 :

-6s²tu³ + st + tu² + st³u + t³

Solution :

Find the degree of each term :

So, the greatest degree is 6.

Problem 3 :

-d² - d – 9d³

Solution :

So, the greatest degree is 3.

Problem 4 :

uv + 4u

Solution :

Find the degree of each term :

uv : degree 2

4u : degree 1

So, the greatest degree is 2.

Problem 5 :

6u² + u²vw – 2u³vw + 4u³

Solution :

So, the greatest degree is 5.

Problem 6 :

3m⁵n²

Solution :

3m⁵n² : degree 7

So, the greatest degree is 7.

Problem 7 :

p²q³r³ - p4qr² + 7 + qr + p6q

Solution :

So, the greatest degree is 8.

Problem 8 :

-8a² + abc + b²c² + ab

Solution :

So, the greatest degree, 4.

Problem 9 :

x – x⁶ + x² + x³ - x⁵

Solution :

So, the greatest degree is 6.

Problem 10 :

4r⁴ + r³s⁴t³ - r²s³t + t⁶ + 3

Solution :

So, the greatest degree is 10.

Problem 11 :

-q³rs² + 3 – q⁷r² + r²s⁴

Solution :

So, the greatest degree is 9.

Problem 12 :

w⁴xy⁵ – w⁶xy³ + 9w⁴x⁵y²

Solution :

So, the greatest degree is 11.