Understanding the Rational Zero Theorem

Understanding the Rational Zero Theorem

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Jennifer Brown

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main purpose of using the Rational Zero Theorem in polynomial functions?

To identify the possible rational zeros

To calculate the derivative of the polynomial

To determine the leading coefficient

To find the degree of the polynomial

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following best describes a rational zero?

A zero that is an integer

A zero that is a complex number

A zero that is a fraction

A zero that is an irrational number

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the possible rational zeros using the Rational Zero Theorem?

By using the factors of the constant term and leading coefficient

By finding the derivative of the polynomial

By graphing the polynomial function

By solving the polynomial equation directly

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in using synthetic division to verify potential zeros?

Identify the constant term

List all possible rational zeros

Bring down the first coefficient

Calculate the derivative

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean if the remainder is zero in synthetic division?

The divisor is not a zero of the polynomial

The divisor is a zero of the polynomial

The polynomial has no real zeros

The polynomial is irreducible

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the highest exponent in a polynomial function?

It determines the number of terms in the polynomial

It indicates the number of possible rational zeros

It represents the degree of the polynomial

It shows the leading coefficient

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does 'multiplicity' refer to in the context of polynomial zeros?

The sum of all zeros

The degree of the polynomial

The number of times a particular zero appears

The number of different zeros

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