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

poveli1e

poveli1e

Answered

2022-01-29

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

Answer & Explanation

bemolizisqt

bemolizisqt

Expert

2022-01-30Added 16 answers

Explanation:
Given:
P(x)=x(x-3)(x+2)
Step 1
Multiply the factors to simplify:
Multiply x(x-3)
(x23x)
Next,
multiply (x23x)(x+2)
x(x23x)+2(x23x)
x33x2+2x26x
x3x26x
Step 2
P(x)=x3x26x
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.

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