Factorization Concepts and Techniques

Factorization Concepts and Techniques

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial introduces the concept of factorization of polynomials, explaining its purpose in simplifying complex expressions. It covers the first method of factorization, focusing on identifying and using common factors. A detailed example is provided, demonstrating the step-by-step process of finding the greatest common factor (GCF) and breaking down polynomial terms. The tutorial concludes with a summary and a preview of upcoming topics.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is factorization important in mathematics?

It helps in solving equations faster.

It simplifies complex expressions.

It is used to find the roots of equations.

It is a method to multiply polynomials.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in factorizing a polynomial?

Expanding the polynomial.

Checking for common factors.

Dividing the polynomial by a constant.

Finding the roots of the polynomial.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the expression 5a - 15b + 10c, what is the common factor?

a

b

c

5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does GCF stand for in the context of factorization?

General Common Factor

Greatest Common Factor

Greatest Constant Factor

General Constant Factor

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the expression 9xy broken down in terms of its factors?

x * y

3 * x * y

9 * x * y

3 * 3 * x * y

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after finding the GCF in factorization?

Divide each term by the GCF.

Multiply each term by the GCF.

Break each term as a product of the GCF and another factor.

Add the GCF to each term.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the expression 12x^2y, what remains after factoring out the GCF 3y?

3x^2

3xy

4xy

4x^2

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