Finding Zeros of Quadratic Functions

This lesson teaches how to identify the zeros of a perfect square quadratic function by factoring. It explains the perfect square pattern, demonstrates factoring, and shows how to find zeros by setting factors to zero. The lesson also covers common mistakes and provides a graphical interpretation of zeros in quadratic functions.

What is the first step in identifying the zeros of a quadratic function that fits the perfect square pattern?

• Graph the function

• Convert it to standard form

• Use the quadratic formula

• Identify the perfect square pattern

Which of the following represents a perfect square trinomial?

• x^2 + 2x + 1

• x^2 + 3x + 2

• x^2 + 4x + 4

• x^2 + 5x + 6

What is the zero of the linear function f(x) = x - 3?

• x = 3

• x = 1

• x = -3

• x = 0

How do you find the zeros of a perfect square function?

• By graphing the function

• By setting the factored form equal to zero

• By using the quadratic formula

• By completing the square

What is the zero of the function 4x^2 + 12x + 9 when factored?

• x = -3

• x = 3/2

• x = 0

• x = -3/2

In a factored form of a quadratic function, how is the zero determined?

• By multiplying the constant term with the coefficient of the variable term

• By subtracting the constant term from the coefficient of the variable term

• By adding the constant term to the coefficient of the variable term

• By taking the opposite of the constant term and dividing by the coefficient of the variable term

What is a common mistake when finding zeros in standard form?

• Using the same sign of the constant term

• Using the opposite sign of the constant term

• Ignoring the coefficient of the variable term

• Using the quadratic formula

What is the correct zero for the function 9x^2 - 3x + 1?

• x = -1/3

• x = 3

• x = -3

• x = 1/3

How can you express the zero of a function in factored form?

• x = -h/a

• x = -a/h

• x = h/a

• x = a/h

What is the zero of the function if it is factored as (3x - 5)(3x - 5)?

• x = 5/3

• x = -5/3

• x = -3/5

• x = 3/5