How do you solve a quadratic when a is not 1

How do you solve a quadratic when a is not 1

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers various methods for factoring quadratic equations, especially when the leading coefficient is not equal to one. It introduces the concept of setting equations in descending order and applying the zero product property. The tutorial provides a detailed example problem, demonstrating the grouping technique and alternative methods for factoring. The goal is to help students understand and apply these techniques effectively.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step when solving a quadratic equation by factoring?

Add a constant to both sides

Multiply all terms by a constant

Find the roots of the equation

Set the equation equal to zero

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When A is not equal to 1, what additional values must be considered in factoring?

X and Y

A and B

P and Q

M and N

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the grouping technique, what is done to the middle term?

It is divided by the first term

It is multiplied by a constant

It is split into two terms

It is added to the last term

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of factoring by grouping?

To simplify the equation

To find the greatest common factor

To rearrange the terms

To apply the zero product property

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a valid pair of factors for the quadratic term in the example?

2X and X

3X and 3X

X and X

4X and 2X

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must the inner and outer products add up to in the alternative factoring method?

The last term

The constant term

The middle term

The first term

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the key to selecting the correct factors in the alternative method?

Ensuring they are equal

Ensuring they are both negative

Ensuring they are both positive

Ensuring they multiply to the correct terms