Algebra II: Quadratic Equations - Factoring (Level 1 of 10)

The video tutorial covers the basics of factoring quadratic equations, emphasizing the zero product property. It explains that not all quadratic equations can be factored over integers and highlights the importance of other techniques for finding solutions. The tutorial provides multiple examples of solving quadratic equations by factoring, demonstrating the process step-by-step and addressing common misconceptions.

What does it mean to factor a polynomial?

• To divide a polynomial by a constant

• To subtract one polynomial from another

• To write a polynomial as a product of other polynomials

• To add polynomials together

Which of the following is true about quadratic equations that cannot be factored over integers?

• They have no solutions

• They can only have real solutions

• They can be solved by factoring over integers

• They may have real, imaginary, or complex solutions

What is the zero product property used for?

• To find the sum of two numbers

• To solve equations by setting each factor to zero

• To multiply two polynomials

• To divide a polynomial by zero

When solving the equation (y + 4)(y + 6) = 0, what are the solutions for y?

• y = 2 and y = 3

• y = 0 and y = 10

• y = -4 and y = -6

• y = 4 and y = 6

What is a repeated root in the context of quadratic equations?

• A root that appears twice in the solution

• A root that cannot be factored

• A root that is imaginary

• A root that is complex

In the equation x(x - 7) = 0, what are the solutions for x?

• x = 7 and x = 14

• x = 0 and x = -7

• x = 0 and x = 7

• x = 7 and x = -7

When solving 3z(2z + 5) = 0, what is one of the solutions for z?

• z = 3

• z = 0

• z = 5/2

• z = -5/2