Factoring Quadratic Functions: Finding Zeros of Difference of Two Squares

This video tutorial explains how to identify the zeros of a quadratic function that is a difference of two squares by factoring. It begins with an introduction to the concept of difference of squares, followed by a detailed example of factoring a quadratic function. The tutorial then demonstrates how to find the zeros of the function and interpret them graphically. Additional examples are provided, along with common mistakes to avoid when factoring and finding zeros.

What is the factored form of a difference of two squares expression x^2 - b^2?

• (x - b)(x - b)

• (x + b)(x + b)

• (x - b)(x + b)

• (x + b)(x - b)

What are the zeros of the function 4x^2 - 9?

• x = 2 and x = -2

• x = 3/2 and x = -3/2

• x = 3 and x = -3

• x = 9/4 and x = -9/4

If a quadratic function is a difference of two squares, what are the zeros in terms of h and a?

• h/a and -h/a

• -h/a and h/a

• a/h and -a/h

• -a/h and a/h

What is the factored form of 9x^2 - 1?

• (9x + 1)(9x - 1)

• (x + 1)(x - 1)

• (3x + 3)(3x - 3)

• (3x + 1)(3x - 1)

What is a common mistake when finding zeros of a function like 9x^2 - 25?

• Assuming the zeros are 25 and -25

• Assuming the zeros are 5 and -5

• Assuming the zeros are 9/25 and -9/25

• Assuming the zeros are 25/9 and -25/9

What is the correct factored form of 9x^2 - 25?

• (x + 5)(x - 5)

• (3x + 25)(3x - 25)

• (9x + 5)(9x - 5)

• (3x + 5)(3x - 5)

What are the zeros of the function 9x^2 - 25?

• x = 25/9 and x = -25/9

• x = 5/3 and x = -5/3

• x = 3/5 and x = -3/5

• x = 5 and x = -5