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Factoring Quadratic Expressions

Factoring Quadratic Expressions

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Practice Problem

Hard

CCSS
7.EE.A.1, HSA.APR.A.1

Standards-aligned

Created by

Olivia Brooks

FREE Resource

Standards-aligned

CCSS.7.EE.A.1
,
CCSS.HSA.APR.A.1
This video tutorial demonstrates how to factor a quadratic expression using the technique of factor by grouping. It begins with identifying the coefficients and constants in the expression, followed by finding factors of the product of the first and last coefficients that add up to the middle coefficient. The expression is then rewritten using these factors, grouped, and factored by extracting common factors. The final step involves verifying the factored expression by expanding it back to its original form.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal of using the factor by grouping technique?

To factor quadratic expressions

To find the roots of linear equations

To simplify linear equations

To solve cubic equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the expression 3x² - 17x + 24, what is the product of coefficients a and c?

51

17

24

72

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which pair of factors of 72 adds up to -17?

-6 and -12

-8 and -9

-3 and -24

-1 and -72

Tags

CCSS.7.EE.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the term -17x rewritten using the factors found in step one?

As 8x + 9x

As -8x - 9x

As -9x + 8x

As 9x - 8x

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the greatest common factor of the first two terms in the expression 3x² - 8x?

3

1

x

8

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do we factor out -3 instead of 3 from the second group of terms?

To make the binomial factors identical

To change the sign of the terms

To eliminate the constant term

To simplify the expression

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common binomial factor in the expression after grouping?

3x - 8

3x + 8

x + 3

x - 3

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