When you have a coefficient do this for completing the square

When you have a coefficient do this for completing the square

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step when completing the square if the coefficient of X^2 is not 1?

Subtract the constant term

Multiply the equation by 2

Factor out the coefficient

Add a constant to both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to group the first two terms when completing the square?

To change the equation to vertex form

To simplify the equation

To eliminate the constant term

To create a perfect square trinomial

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What common mistake do students make when finding the value C?

Multiplying by the wrong number

Using the original B value

Forgetting to factor out the coefficient

Adding instead of subtracting

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you ensure the equation remains equivalent when adding the value C inside the parentheses?

Divide the entire equation by 2

Multiply the entire equation by 2

Subtract the same value outside the parentheses

Add the same value outside the parentheses

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of creating a perfect square trinomial?

To factor the equation easily

To convert the equation to vertex form

To simplify the equation

To find the roots of the equation

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying the added value C by the coefficient outside the parentheses?

It ensures the equation remains balanced

It eliminates the constant term

It changes the equation to standard form

It simplifies the equation

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final form of the equation after completing the square?

Standard form

Factored form

Vertex form

Quadratic form