How do you find the degree of P(x)=x(x-3)(x+2)?

Explanation:
Given:
P(x)=x(x-3)(x+2)
Step 1
Multiply the factors to simplify:
Multiply x(x-3)
${\displaystyle \Rightarrow (x^2-3x)}$
Next,
multiply ${\displaystyle (x^2-3x)(x+2)}$
${\displaystyle \Rightarrow x(x^2-3x)+2(x^2-3x)}$
${\displaystyle \Rightarrow x^3-3x^2+2x^2-6x}$
${\displaystyle \Rightarrow x^3-x^2-6x}$
Step 2
${\displaystyle P\left(x\right)=x^3-x^2-6x}$
All the terms are organized with the largest exponent first.
This is a polynomial with the largest exponent 3.
This is a cubic function.
Step 3
Degree of a polynomial refers to the
largest exponent of the input variable used.
The terms Degree and Order are used interchangeably.
Hence,
the degree of the polynomial P(x)=x(x-3)(x+2) is 3.