Identifying Zeros of Perfect Square Quadratic Functions by Factoring

This video tutorial teaches how to identify zeros of perfect square quadratic functions by factoring. It begins with an introduction to the perfect square pattern and explains how to factor such quadratics. The tutorial then covers finding zeros by setting the factored form equal to zero and solving for x. It also discusses the graphical representation of zeros and provides a general formula for finding them. Common mistakes in identifying zeros are highlighted, with corrections provided.

What is the factored form of the quadratic function 4x^2 + 12x + 9?

• (x + 3)(4x + 3)

• (2x + 3)(2x + 3)

• (4x + 9)(x + 1)

• (2x + 1)(2x + 9)

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

• x = 3

• x = 0

• x = 1

• x = -3

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

• By multiplying the terms

• By subtracting the constant term

• By adding the coefficients

• By setting the function equal to zero

What is the zero of the function (2x + 3)(2x + 3) = 0?

• x = -2/3

• x = -3/2

• x = 3/2

• x = 2/3

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

• Using the same sign of the constant term

• Multiplying the terms incorrectly

• Taking the opposite of the constant term

• Dividing by the coefficient of the variable term

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

• x = 3

• x = 1/3

• x = -1/3

• x = -3

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

• By subtracting the variable term

• By multiplying the coefficients

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

• By adding the constant term