Mastering Quadratic Equations through Factoring

The video tutorial covers solving quadratic equations using factoring. It begins with an introduction to lesson 5, focusing on problems from module one. The instructor explains how to factor quadratic equations, emphasizing the importance of setting equations to zero. The zero product property is introduced to find solutions. The tutorial also addresses equations with non-zero right sides and demonstrates how to adjust them to zero. Finally, it covers solving equations with fractions by finding a common denominator, allowing for easier factoring and solution finding.

What is the page number where Lesson 5 starts in the book?

• Page m171

• Page m182

• Page m150

• Page m200

What property allows us to set each factor of a product equal to zero when the product equals zero?

• Zero Equation Property

• Zero Factor Property

• Zero Product Property

• Zero Sum Property

What are the solutions to the equation x^2 - 8x + 12 = 0?

• x = 2, x = 6

• x = -2, x = -6

• x = 1, x = 12

• x = 3, x = 4

What does the zero product property state?

• A product of sums equals zero

• A sum of products equals zero

• A product of zeros equals zero

• A product that equals zero has at least one zero factor

How do you adjust an equation to make it equal zero before factoring?

• Subtract the constant term

• Divide by the coefficient of x^2

• Add the constant term to both sides

• Multiply by the coefficient of x

What are the solutions to the equation x^2 + 8x + 7 = 0?

• x = -1, x = -7

• x = -1, x = 7

• x = 1, x = 7

• x = 1, x = -7

What common denominator is used to eliminate fractions in the equation 2/3x^2 - 5/6x = 0?

• 6

• 12

• 3

• 9

What is the greatest common factor (GCF) used in the equation 4x^2 - 5x = 0?

• x^2

• x

• 4x

• 5x

What are the solutions to the equation 4x - 5 = 0?

• x = -4/5

• x = 4/5

• x = -5/4

• x = 5/4

After factoring out the GCF in the equation 4x^2 - 5x = 0, what is left inside the parentheses?

• x - 5

• 4x - 5

• 4x + 5

• x + 5