Factoring Perfect Square Trinomials to Find Zeros of Quadratic Functions

Factoring Perfect Square Trinomials to Find Zeros of Quadratic Functions

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

1st - 6th Grade

Hard

Created by

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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.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

A linear equation

A perfect square trinomial

A cubic polynomial

A quadratic equation

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

X = 3/4

X = 4/3

X = -3/4

X = -4/3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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