Question

find the value of n, when the degree of a polynomial 10xñy³z⁴is 11.


A polynomial of degree 'n' is called n th degree polynomial.​

Answer 1

How to find the Degree of a Polynomial?

There are 4 simple steps are present to find the degree of a polynomial:-

Example: 6x5+8x3+3x5+3x2+4+2x+4

Step 1: Combine all the like terms that are the terms of the variable terms.

(6x5+3x5)+8x3+3x2+2x+(4+4)

Step 2: Ignore all the coefficients

x5+x3+x2+x+x0

Step 3: Arrange the variable in descending order of their powers

x5+x3+x2+x+x0

Step 4: The largest power of the variable is the degree of the polynomial

deg(x5+x3+x2+x+x0) = 5

Classification Based on the Degree of the Equation

Based on the degree, the equation can be linear, quadratic, cubic, and bi-quadratic, and the list goes on.

Answer 2

Answer:

Answer will be 11

Degree is nothing but the maximum power of x

For example x+2 = 0 has a degree 1

x^2 + 1 = 0 has a degree 2

Similarly x^n + y^3 + z^4 with a degree 11 means n will be 11 itself