Depressed Polynomial

Definition of Depressed Polynomial

• A depressed polynomial is the quotient when a polynomial is divided by one of its binomial factors.

Examples of Depressed Polynomial

• In the example below, the quadratic is divided by one of its factor x - 1.  Here, the quotient  is the depressed polynomial.

Solved Example on Depressed Polynomial

Which of the following can be divided by the binomial factor (x - 1) to give a depressed polynomial (x - 1)?

Choices:

A.

B.

C.

D.

Correct Answer: A

Solution:

Step 1: Among the given expressions, only  can be divided by

(x - 1) to give the depressed polynomial (x - 1).

Related Terms for Depressed Polynomial

• Polynomial

• Binomial
• Factor
• Quotient

                                

Additional Links for Depressed Polynomial

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