Determine all of the possible rational zeros of a polynomial

Determine all of the possible rational zeros of a polynomial

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to determine possible rational zeros of a polynomial function. It covers the concept of rational zeros, represented as P/Q, where P is the constant term and Q is the leading coefficient. The tutorial details how to find all possible rational zeros by considering the factors of P and Q, and then simplifying these possibilities. It also discusses the application of these rational zeros in finding actual zeros of the polynomial, using methods like graphing and synthetic division.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used to express rational zeros of a polynomial function?

P * Q

P - Q

P / Q

P + Q

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a factor of 6?

± 5

± 3

± 7

± 8

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after listing all possible rational zeros?

Subtract all zeros

Add all zeros

Graph the function

Multiply all zeros

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you verify if a potential rational zero is an actual zero?

By multiplying it with the polynomial

By subtracting it from the polynomial

By using synthetic division

By adding it to the polynomial

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If you do not have a graphing calculator, what method can you use to find actual zeros?

Subtracting all potential zeros

Multiplying all potential zeros

Adding all potential zeros

Synthetic division for each potential zero

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