Solving a quadratic equation by factoring using the ac method

Solving a quadratic equation by factoring using the ac method

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers solving for X intercepts by setting Y or F(X) to zero. It explores various factoring techniques, including the X diamond method and the box method, to solve equations. The tutorial emphasizes understanding the process of identifying factors and solving for X intercepts, providing visual aids and step-by-step instructions.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding the X intercepts of a function?

Solve for the maximum value

Find the derivative of the function

Set Y or F(X) equal to 0

Set Y or F(X) equal to 1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method is used to factor trinomials in this lesson?

Synthetic Division

Completing the Square

X Diamond Method

Quadratic Formula

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the X diamond method, what do you need to find?

The maximum and minimum values

The derivative of the trinomial

Two numbers that multiply to a given product and add to a given sum

The roots of the equation

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result when two negative numbers multiply?

A negative number

A positive number

Zero

An undefined value

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of creating a box in the box method?

To divide the equation into smaller parts

To organize terms for addition

To simplify the equation

To visualize the multiplication of terms

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When using the box method, what do you place in the first and last sections of the box?

The coefficients of the middle term

The first and last terms of the trinomial

The roots of the equation

The GCF of the trinomial

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is it possible for a quadratic equation to have only one X intercept?

Yes, when it touches the graph at one point

No, it always has two intercepts

Yes, when it crosses the graph at two points

No, it never touches the graph