Question

Identify whether p(x) = 8x3

-2x2 + 4 √x -17 is a polynomial or not? Write

the general form of a third degree polynomial?

Answer 1

Step-by-step explanation:

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.

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