Created from Youtube video: https://www.youtube.com/watch?v=9MUDAr1PnlEvideo

Concepts covered:factoring trinomials, factoring polynomials, greatest common factor, factoring by grouping, perfect square trinomials

The video provides a detailed introduction to factoring trinomials and polynomials in algebra, demonstrating how to identify and factor out the greatest common factor (GCF) to simplify expressions. It covers various scenarios including factoring by grouping, perfect square trinomials, difference of squares, and sums/differences of cubes, along with solving equations by factoring.

Table of Contents1.Factoring Cubes and Differences of Squares2.Factoring Quadratic Expressions with Perfect Square Trinomials3.Factoring Quadratic Expressions with Perfect Square Trinomials4.Solving Equations by Factoring5.Solving Equations by Factoring

chapter

1

Factoring Cubes and Differences of Squares

Concepts covered:Factoring, Cubes, Differences of Squares, Formula, Exponents

Learn how to factor cubes using the formula a plus B times a squared minus a B plus B squared, and differences of squares using a minus B times a squared plus 2 a B plus B squared. Examples demonstrate the process of factoring using cube roots and exponents.

Question 1

Factor 8x^3 - 27 using cubes.

Question 2

Factor x^3 + 8 using cubes.

Question 3

What is the cube root of 125x^6?

chapter

2

Factoring Quadratic Expressions with Perfect Square Trinomials

Concepts covered:Factoring, Quadratic Expressions, Perfect Square Trinomials, Common Factors, Square Roots

Learn how to factor quadratic expressions involving perfect square trinomials by extracting common factors and identifying square roots of terms. Practice factoring expressions step by step with detailed explanations.

Question 4

What is the product of 3 and 4?

Question 5

What is the square root of 25?

Question 6

What is the square root of 4x squared?

chapter

3

Factoring Quadratic Expressions with Perfect Square Trinomials

Concepts covered:Factoring, Quadratic Expressions, Perfect Square Trinomials, Common Factors, Square Roots

Learn how to factor quadratic expressions involving perfect square trinomials by extracting common factors and identifying square roots of terms. Practice factoring expressions step by step with detailed explanations.

Question 7

What is the square root of 25?

Question 8

What is the square root of 4x squared?

Question 9

What is 3 times 4 times 2?

chapter

4

Solving Equations by Factoring

Concepts covered:Equations, Factoring, Binomials, Trinomials, Zero Product Property

Learn how to solve equations by factoring, including finding the value of x in various examples involving binomials and trinomials with the difference of perfect squares. Understand the process of factoring and applying the zero product property rule to determine the solutions.

Question 10

What is the factored form of 3x^2 - 27?

Question 11

What is the GCF of 6x^2 and -30x?

Question 12

Solve for x: 6x(x - 5) = 0.

chapter

5

Solving Equations by Factoring

Concepts covered:Equations, Factoring, Binomials, Trinomials, Zero Product Property

Learn how to solve equations by factoring, including finding the value of x in various examples involving binomials and trinomials with the difference of perfect squares. Understand the process of factoring and applying the zero product property rule to determine the solutions.

Question 13

What is the factored form of 3x^2 - 27?

Question 14

What is the GCF of 6x^2 and -30x?

Question 15

Solve for x: 6x(x - 5) = 0.

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