Algebra 73 - Factoring Quadratics by inspection - part 1

Algebra 73 - Factoring Quadratics by inspection - part 1

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to factor quadratic expressions using the method of inspection. It begins with an introduction to factoring quadratics and special products, then delves into the trial and error process of factoring by inspection. Examples are provided to illustrate the method, including cases with no constant term and general cases with all non-zero constants. The tutorial also highlights the limitations of the inspection method and suggests alternative methods like completing the square or using the quadratic formula for more complex quadratics.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal when factoring a quadratic expression?

To find the roots of the expression

To convert it into a cubic expression

To find a pair of linear expressions that multiply to the quadratic

To simplify the expression

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When is trial and error not needed in factoring a quadratic expression?

When the quadratic is a perfect square

When the quadratic has a constant term

When the quadratic has no constant term

When the quadratic is a difference of squares

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the expression 5X^2 - 2X, what are the linear factors?

X and 5X - 2

5X and X - 2

X and X - 5

5X and X + 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in factoring by inspection when the coefficient of X squared is one?

Find the roots of the quadratic

Determine the values of P and R

Find values for Q and S that satisfy certain conditions

Graph the quadratic function

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the factors of the quadratic expression X^2 + 5X + 6?

X + 3 and X + 4

X + 2 and X + 3

X + 1 and X + 6

X + 2 and X + 4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution set for the quadratic equation X^2 + 5X + 6 = 0?

-5 and -6

2 and 3

-2 and -3

0 and 5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why might factoring by inspection not be possible for some quadratics?

The values of Q and S are not integers

The quadratic is a perfect square

The quadratic is a difference of squares

The quadratic has no real zeros

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?