How to use p over q to find the possible and all zeros

How to use p over q to find the possible and all zeros

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine the rational zeros of a polynomial using the rational zero test. It covers listing possible zeros using the P/Q method, graphing the polynomial to estimate zeros, and verifying these zeros through synthetic division. The tutorial also demonstrates finding remaining zeros and factors of a third-degree polynomial.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in determining the rational zeros of a polynomial?

Applying the Rational Zero Test

Graphing the Polynomial

Using the Remainder Theorem

Performing Synthetic Division

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which tool can be used to estimate the zeros of a polynomial?

Synthetic Division

Remainder Theorem

Graphing Technology

Long Division

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the benefit of using synthetic division after estimating zeros?

It provides an exact solution

It helps in finding another factor

It eliminates the need for graphing

It confirms the polynomial degree

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you verify a zero of a polynomial?

By performing Synthetic Division

By factoring the polynomial

By applying the Remainder Theorem

By using the Rational Zero Test

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step after identifying all zeros of a polynomial?

Using the Remainder Theorem

Writing the polynomial in factored form

Performing long division

Graphing the polynomial