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Factoring Polynomials and Concepts

Factoring Polynomials and Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to factor special cases, specifically focusing on the expression x^4 - 16. It demonstrates the process of factoring using the difference of squares method, breaking down the expression into simpler components. The tutorial covers two levels of factoring, first reducing the exponent from 4 to 2, and then further factoring x^2 - 4. The video concludes by highlighting that x^4 - 16 can be factored multiple times and mentions exploring more examples in future videos.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of this set of videos?

Solving systems of equations

Solving quadratic equations

Factoring special cases

Graphing linear equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example x^4 - 16, what mathematical concept is primarily used?

Difference of squares

Quadratic formula

Sum of cubes

Completing the square

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can x^4 be rewritten to apply the difference of squares?

x^2 * x^2

x^2 + x^2

(x^2)^2

x^2 - x^2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first level of factoring for x^4 - 16?

x + 4 and x - 4

x^2 + 4 and x^2 - 4

x^2 + 8 and x^2 - 8

x^2 + 2 and x^2 - 2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the exponent of x in the expression x^4 - 16 after the first level of factoring?

4

3

2

1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after factoring x^4 - 16 into x^2 + 4 and x^2 - 4?

Stop factoring

Factor x^2 + 4 further

Combine the factors

Factor x^2 - 4 further

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can x^2 - 4 be factored further?

(x + 4)(x - 4)

(x + 2)(x - 2)

(x + 1)(x - 1)

(x + 3)(x - 3)

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