Factoring Cubics

Factoring Cubics

Assessment

Flashcard

Mathematics

11th - 12th Grade

Practice Problem

Hard

CCSS
HSA.APR.C.4, HSA-REI.B.4B, HSF-IF.C.7C

+1

Standards-aligned

Created by

Wayground Content

FREE Resource

Student preview

quiz-placeholder

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the formula for factoring a difference of cubes?

Back

The formula for factoring a difference of cubes is: a^3 - b^3 = (a - b)(a^2 + ab + b^2).

Tags

CCSS.HSA.APR.C.4

2.

FLASHCARD QUESTION

Front

Factor the expression: 27x^3 - 1

Back

(3x - 1)(9x^2 + 3x + 1)

Tags

CCSS.HSA.APR.C.4

3.

FLASHCARD QUESTION

Front

What is the formula for factoring a sum of cubes?

Back

The formula for factoring a sum of cubes is: a^3 + b^3 = (a + b)(a^2 - ab + b^2).

Tags

CCSS.HSA.APR.C.4

4.

FLASHCARD QUESTION

Front

Factor the expression: 8x^3 - 27

Back

(2x - 3)(4x^2 + 6x + 9)

Tags

CCSS.HSA.APR.C.4

5.

FLASHCARD QUESTION

Front

What is the first step in factoring a cubic polynomial?

Back

The first step is to look for a common factor in all terms.

6.

FLASHCARD QUESTION

Front

Factor the expression: x^2 + 5x + 4

Back

(x + 1)(x + 4)

7.

FLASHCARD QUESTION

Front

What is the significance of the discriminant in factoring quadratics?

Back

The discriminant (b^2 - 4ac) determines the nature of the roots: if positive, two distinct real roots; if zero, one real root; if negative, no real roots.

Tags

CCSS.HSA-REI.B.4B

Access all questions and much more by creating a free account

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

Already have an account?