How do you factor a trinomial of the form $$ax^2 + bx + c$$ ?

To factor a trinomial, find two numbers that multiply to $$ac$$ and add to $$b$$ , then rewrite the middle term and factor by grouping.

What is the formula for factoring a difference of cubes?

The difference of cubes can be factored using the formula: $$a^3 - b^3 = (a - b)(a^2 + ab + b^2)$$ .

How do you factor the polynomial $$9x^2 - 1$$ ?

$$9x^2 - 1 = (3x - 1)(3x + 1)$$ , using the difference of squares.

What is the factored form of $$25n^2 - 1$$ ?

$$25n^2 - 1 = (5n - 1)(5n + 1)$$ , using the difference of squares.

How do you factor the polynomial $$8x^3 - 27$$ ?

$$8x^3 - 27 = (2x - 3)(4x^2 + 6x + 9)$$ , using the difference of cubes.

What is the factored form of $$121b^2 - 9$$ ?

$$121b^2 - 9 = (11b - 3)(11b + 3)$$ , using the difference of squares.

What is the first step in factoring a polynomial?

The first step in factoring a polynomial is to look for the Greatest Common Factor (GCF) among the terms.

A binomial is a polynomial that contains exactly two terms, such as $$a + b$$ or $$x^2 - 4$$ .

What is a polynomial?

A polynomial is an expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Factoring Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is Factoring?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, or factors, that when multiplied together give the original expression.

2.

FLASHCARD QUESTION

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF of two or more terms is the largest factor that divides each of the terms without leaving a remainder.

3.

FLASHCARD QUESTION

Front

How do you factor by grouping?

Back

To factor by grouping, you group terms with common factors, factor out the GCF from each group, and then factor out the common binomial factor.

4.

FLASHCARD QUESTION

Front

What is the difference of two squares?

Back

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

10 questions

Cardiovascular system

Flashcard

•

12th Grade

10 questions

Strategies to Avoid Communication Breakdown

Flashcard

•

11th - 12th Grade

15 questions

What is the Limit?

Flashcard

•

11th Grade

8 questions

Ascites Management

Flashcard

•

University

10 questions

Interpret Bar Graphs

Flashcard

•

12th Grade

10 questions

Marketing Mix - Place and Distribution

Flashcard

•

10th Grade - University

6 questions

Unit 3.8 Market Structure

Flashcard

•

11th Grade

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

11 questions

How well do you know your Christmas Characters?

Lesson

•

3rd Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

20 questions

How the Grinch Stole Christmas

Quiz

•

5th Grade

Discover more resources for Mathematics

20 questions

Christmas Lyrics

Quiz

•

12th Grade

15 questions

Mock Fall Final

Quiz

•

9th - 12th Grade

23 questions

Rational Exponents and Simplifying using Exponent Properties

Quiz

•

9th - 12th Grade

12 questions

Polynomials 7-1/7-2/7-3

Lesson

•

9th - 12th Grade

13 questions

Congruent Triangle Proofs

Quiz

•

9th - 12th Grade

14 questions

Permutations and Combinations

Quiz

•

9th - 12th Grade

13 questions

Reading And Writing Numerical Expression

Quiz

•

6th - 12th Grade

11 questions

73 WarmUp: Graphing SOE/Ineqs

Quiz

•

9th - 12th Grade