How to find the zeros of a quadratic polynomial by factoring

The video tutorial covers solving quadratic equations by setting them to zero, factoring, and applying the zero product property. It explains the concept of multiplicity and how it affects the graph of the equation. The tutorial emphasizes the importance of understanding these concepts to solve quadratic equations effectively.

What is the first step in solving a quadratic equation?

• Factor the equation

• Graph the equation

• Set the equation equal to zero

• Find the roots

Which two numbers multiply to -27 and add to -6?

• -9 and 3

• 3 and -9

• -3 and 9

• 9 and -3

What does the multiplicity of a linear factor indicate about the graph?

• The graph will cross the x-axis

• The graph will touch the x-axis

• The graph will be parallel to the x-axis

• The graph will not intersect the x-axis

What is the zero product property used for?

• To calculate the discriminant

• To find the solutions of a factored equation

• To find the vertex of a parabola

• To determine the axis of symmetry

If a factor is raised to the power of one, what does it mean?

• The factor is zero

• The factor is squared

• The factor is cubed

• The factor remains unchanged