Created from Youtube video: https://www.youtube.com/watch?v=9MUDAr1PnlEvideoConcepts 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.
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?
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 square root of 25?
Question 5
What is the square root of 4x squared?
Question 6
What is 3 times 4 times 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 7
What is the product of 3 and 4?
Question 8
What is the square root of 25?
Question 9
What is the square root of 4x squared?
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.
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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