Factoring Quadratic Functions to Reveal Zeros

This video tutorial teaches how to find the zeros of a quadratic function by factoring. It begins with an introduction to the concept of zeros and their representation on a graph. The tutorial then explains the process of factoring quadratic functions, including identifying common factors and using grouping. Common mistakes in factoring are highlighted, followed by a detailed example problem that demonstrates the complete solution process. The video emphasizes the importance of rewriting functions in factored form to easily identify zeros.

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

• To change the function's graph

• To make the zeros more visible

• To simplify the function

• To increase the degree of the function

Which of the following is a common mistake when factoring a quadratic function?

• Choosing factors of ac that do not sum to b

• Using the quadratic formula incorrectly

• Forgetting to multiply by the leading coefficient

• Ignoring the constant term

In the example function 6x^2 + 17x - 14, what are the correct factors?

• (3x + 2)(2x - 7)

• (3x - 2)(2x + 7)

• (2x + 7)(3x - 2)

• (2x - 7)(3x + 2)

What are the zeros of the function 5x^2 + 4x - 12 after factoring?

• x = -6/5 and x = 2

• x = 6/5 and x = 2

• x = 5/6 and x = 2

• x = 6/5 and x = -2

Why is it helpful to rewrite a function in factored form?

• It changes the function's degree

• It makes the zeros easier to see

• It alters the function's graph

• It simplifies the function