Factoring Perfect Square Trinomials to Find Zeros of Quadratic Functions

The video tutorial explains how to find the zeros of a quadratic function by factoring perfect square trinomials. It covers the process of expanding binomials to form trinomials, identifying perfect square trinomials, and solving quadratic equations. The tutorial also highlights common mistakes in factoring and demonstrates how to correctly apply the distributive property.

What is the main purpose of factoring a quadratic function?

• To eliminate the constant term

• To simplify the function

• To find the zeros of the function

• To change the function's degree

When squaring a binomial, what is the resulting expression called?

• A linear equation

• A perfect square trinomial

• A cubic polynomial

• A quadratic equation

What determines the signs of the terms in a squared binomial?

• The constant term

• The signs of the binomial being squared

• The middle term of the trinomial

• The coefficients of the terms

What is a common mistake when expanding a squared binomial?

• Ignoring the constant term

• Incorrectly applying the distributive property

• Not factoring the expression

• Forgetting to multiply the coefficients

How can you identify the zeros of a function from its graph?

• By identifying where the graph intersects the x-axis

• By determining the slope of the graph

• By locating the highest point on the graph

• By finding where the graph intersects the y-axis

What is the solution to the equation 4X - 3 = 0?

• X = 3/4

• X = 4/3

• X = -3/4

• X = -4/3

What is the zero of the function F(x) = 25X^2 + 20X + 4 after factoring?

• X = -2/5

• X = 2/5

• X = 5/2

• X = -5/2