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Factoring Quadratic Equations Concepts

Factoring Quadratic Equations Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Lucas Foster

FREE Resource

The video tutorial demonstrates how to factor the quadratic equation x^2 - 3x + 2 = 0. It begins by setting up a skeleton equation and determining the appropriate signs and factors. The factorization is verified using the FOIL method. The tutorial then finds the values of x that satisfy the equation, confirming the factorization. Finally, it mentions the quadratic equation as an alternative method for solving the equation.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in factoring the equation x^2 - 3x + 2 = 0?

Use the FOIL method

Graph the equation

Set up a skeleton equation

Solve for x using the quadratic formula

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the middle term of a quadratic equation is negative and the last term is positive, what are the signs in the skeleton equation?

Positive, Positive

Positive, Negative

Negative, Positive

Negative, Negative

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the factors of the number 2 that sum up to -3 in the equation x^2 - 3x + 2?

-2 and -1

2 and 3

-1 and -2

1 and 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method is used to verify the factorization of the quadratic equation?

Substitution

FOIL method

Completing the square

Graphing

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying the first terms in the FOIL method for the equation (x - 1)(x - 2)?

x^2

1

x

2x

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What value of x satisfies the equation x - 1 = 0?

0

1

2

-1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

0

-2

1

2

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