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Factoring Quadratic Equations Concepts

Factoring Quadratic Equations Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Sophia Harris

FREE Resource

The video tutorial demonstrates how to factor the quadratic equation x^2 - 4x + 4 = 0. The instructor sets up a skeleton equation, adds signs, and finds factors for the last term. The solution is verified using the FOIL method, and alternative representations of the factored equation are explored, such as writing it as (x - 2)^2. The tutorial concludes with a verification of the solution by substituting the value back into the original equation.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in factoring the equation x^2 - 4x + 4 = 0?

Find the factors of the last term

Add the signs to the equation

Set up a skeleton equation

Use the FOIL method

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When adding signs to the skeleton equation, what sign is placed in the middle term?

Positive

Negative

Zero

It doesn't matter

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which pair of numbers is used to factor the last term in the equation x^2 - 4x + 4?

1 and 4

2 and 2

4 and 0

3 and 1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method is used to verify the factored equation?

Substitution

Graphing

FOIL method

Completing the square

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of factoring x^2 - 4x + 4?

(x + 2)(x + 2)

(x + 4)(x - 1)

(x - 2)(x + 2)

(x - 2)(x - 2)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the factored form (x - 2)(x - 2) be alternatively expressed?

x^2 - 4

(x - 2)^2

x - 2

x^2 - 4x + 4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What value of x satisfies the equation (x - 2)^2 = 0?

x = 4

x = 2

x = 1

x = 0

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