**Introduction :**

The degree of polynomial is the highest exponent for a term with non-zero coefficient in a polynomial expressed in canonical form (i.e. -as a sum or difference of terms). The degree of a term is the sum of the powers of each variable in the term. The words *degree* and *order* are used interchangeably.

Source: Wikipedia

**1. Find the degree of the algebraic equation**

** 10x ^{2}+4x+12=0**

** Solution**:

Given equation is

10x^{2}+4x+12

The degree of the given algebraic equation is 2

**2. Find the degree of the algebraic equation**

** 11x ^{3}+5x+14**

** Solution:**

Given equation is

11x^{3}+5x+14

The degree of the given algebraic equation is 3

**3.**** Find the degree of the algebraic equation**

** (4z ^{9 }+ z^{5} − 4z^{2} + 6) + (− 4z^{8} + 8z^{4 }+ 2z^{3} + 14z)**

** Solution:**

The given equation:

4z^{9}+z^{5}-4z^{2}+6 +-4z^{9}+8z^{4}+2z^{3}+14z

4z^{9}-4z^{9} will be canceled

Z^{5}-4z^{2}+6+8z^{4}+2z^{3}+14z

The degree of the given algebraic equation is 5

**4. **** Find the degree of the algebraic equation**

** (5z ^{10} + z^{10} − 4z^{2} + 6) + (5z^{10} + 8z^{10} + 2z^{3} + 14z)**

** Solution:**

The given equation:

5z^{10}+z^{10}-4z^{2}+6 +-5z^{10}+8z^{10}+2z^{3}+14z

5z^{10}-5z^{10} will be canceled

Z^{10}-4z^{2}+6+8z^{10}+2z^{3}+14z

The degree of the given algebraic equation is 10

**5.**** Find the degree of the algebraic equation**

** 12x ^{2}+4x+12=0**

** Solution:**

Given equation is

12x^{2}+4x+12

The degree of the given algebraic equation is 2

**6.**** Find the degree of the algebraic equation**

** (7z ^{11} + z^{11} − 4z^{2} + 6) + (7z^{11 }+ 8z^{11} + 2z^{3} + 14z)**

** Solution:**

The given equation:

7z^{11}+z^{11}-4z^{2}+6 +-7z^{11}+8z^{11}+2z^{3}+14z

7z^{11}-7z^{11} will be canceled

Z^{11}-4z^{2}+6+8z^{11}+2z^{3}+14z

The degree of the given algebraic equation is 11

**7.**** Find the degree of the algebraic equation**

** (8 z^{12} + z^{13} − 4z^{2} + 6) + (8z^{12} + 8z^{4} + 2z^{3} + 14z)**

** Solution:**

The given equation:

8z^{12}+z^{13}-4z^{2}+6 +-8z^{12}+8z^{4}+2z^{3}+14z

8z^{12}-8z^{12} will be canceled

Z^{13}-4z^{2}+6+8z^{4}+2z^{3}+14z

The degree of the given algebraic equation is 13

**8. Find the algebraic equation**

** 13x ^{2}+5x+12=0**

** Solution:**

Given equation is

13x^{2}+5x+12

The degree of the given algebraic equation is 2

**9. **** Find the degree of the algebraic equation**

** (9z ^{14}+ z^{12} − 4z^{2} + 6) + (9z^{14}+ 8z^{4} + 2z^{3} + 14z)**

** Solution:**

The given equation:

9z^{14}+z^{12}-4z^{2}+6 +-9z^{14}+8z^{4}+2z^{3}+14z

9z^{14}-9z^{14} will be canceled

Z^{12}-4z^{2}+6+8z^{4}+2z^{3}+14z

The degree of the given algebraic equation is 12