Given a Zero Find the Remaining Zeros by Factoring

Given a Zero Find the Remaining Zeros by Factoring

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers polynomial division, focusing on synthetic division as an efficient method for dividing polynomials when a binomial is involved. It explains how to identify zeros and factors, and the importance of rational numbers in determining possible factors. The tutorial also discusses factoring techniques for polynomials and concludes with a summary of the key points.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of finding the remaining zeros of a polynomial?

To find the polynomial's maximum value

To calculate the polynomial's derivative

To identify the polynomial's factors

To determine the polynomial's degree

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which division method is considered easiest for polynomials with linear factors?

Long division

Synthetic division

Partial fraction decomposition

Polynomial expansion

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the P/Q method used for in polynomial factorization?

To determine possible rational zeros

To find the polynomial's degree

To expand the polynomial

To calculate the polynomial's derivative

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after using synthetic division to find a zero?

Calculate the polynomial's derivative

Use long division

Factor the resulting polynomial

Expand the polynomial

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you rewrite a polynomial for further factorization?

By changing the polynomial's degree

By expanding the polynomial

By calculating its derivative

By grouping and rearranging terms

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the factors of the polynomial if the zeros are -2, 1, and 1/2?

X + 2, X + 1, 2X + 1

X - 2, X - 1, 2X + 1

X - 2, X + 1, 2X + 1

X + 2, X - 1, 2X - 1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main takeaway from the process of finding polynomial zeros?

Use synthetic division and factoring techniques

Factoring is not required

Synthetic division is unnecessary

Always use long division