Factoring Quadratic Functions to Reveal Zeros

The video tutorial explains how to find the zeros of a quadratic function by factoring. It begins with an introduction to the concept of zeros and how they relate to the graph of a function. The tutorial then demonstrates the process of factoring a quadratic function to reveal its zeros, highlighting common mistakes students might make. An example is provided to illustrate the correct method of factoring and solving for zeros, emphasizing the importance of checking solutions.

What is the purpose of rewriting a quadratic function in factored form?

• To eliminate the x terms

• To change the function's graph

• To increase the degree of the function

• To make the zeros more visible

Which of the following is a common mistake when factoring the function 4x^2 - 16x?

• Factoring out the greatest common factor

• Leaving the function in standard form

• Using the quadratic formula

• Factoring as a difference of perfect squares

What is the correct factored form of the function 15x^2 + 21x?

• 15(x + 1)(x + 1)

• 5x(3x + 4)

• 3x(5x + 7)

• 3(x + 5)(x + 7)

How can you verify the zeros of a factored quadratic function?

• By solving the derivative of the function

• By checking the symmetry of the function

• By substituting the zeros back into the original function

• By graphing the function and checking the y-intercept

What is the zero product property used for in solving quadratic equations?

• To determine when the product of factors equals zero

• To find the maximum value of the function

• To identify the axis of symmetry

• To calculate the slope of the tangent line