Jimmy Chang explains how to write quadratic functions as products of two linear functions by determining if they are factorable. He provides examples, such as factoring x^2 - 8x + 15 and x^2 + 4x + 4, to illustrate the process. The key is to check if the quadratic function can be expressed in a factorable form, which simplifies the process of writing it as a product of linear functions.

What is the standard form of a quadratic function?

• a/x + b

• ax^2 + bx + c

• ax^3 + bx^2 + cx + d

• ax + b

Which of the following is NOT a requirement for a quadratic function?

• a is not equal to 0

• b and c are constants

• The function is of the form ax^2 + bx + c

• a, b, and c must be integers

What is the first step in converting a quadratic function into a product of linear functions?

• Check if the quadratic is factorable

• Divide the quadratic by x

• Add a constant to the quadratic

• Multiply the quadratic by a linear function

Why is factorability important in converting quadratic functions?

• It eliminates the constant term

• It simplifies the process

• It makes the function linear

• It changes the degree of the function

In the example x^2 - 8x + 15, what are the factors of 15 that add up to -8?

• -3 and -5

• 3 and 5

• -1 and -15

• 1 and 15

What is the factorized form of x^2 - 8x + 15?

• (x - 3)(x - 5)

• (x + 3)(x + 5)

• (x - 1)(x - 15)

• (x + 1)(x + 15)

In the example x^2 + 4x + 4, what are the factors of 4 that add up to 4?

• 2 and 2

• -1 and -4

• 1 and 4

• -2 and -2

What is the factorized form of x^2 + 4x + 4?

• (x + 2)^2

• (x - 2)^2

• (x + 4)(x + 1)

• (x - 4)(x - 1)

What does it mean when the parentheses match in a factorized quadratic?

• The quadratic has no real roots

• The quadratic is a perfect square

• The quadratic cannot be factorized

• The quadratic is linear

What should you do if a quadratic function is not factorable?

• Ignore the function

• Use a different method to solve it

• Assume it is linear

• Multiply it by a constant