Factoring a Trinomial Using a Table

Factoring a Trinomial Using a Table

Assessment

Interactive Video

Mathematics

10th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial covers factoring polynomials in the form ax^2 + bx + c using tables. It includes multiple examples demonstrating the process, including handling negative coefficients and factoring with a greatest common factor. The tutorial concludes with a real-world application involving a tennis court's dimensions.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus of using a table in factoring trinomials?

To identify the relationship between the trinomial and its factors

To eliminate the constant term from the trinomial

To convert the trinomial into a quadratic equation

To simplify the trinomial into a single term

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When factoring a trinomial using a table, what is the significance of the diagonal in the table?

It shows the product of the constant terms

It highlights the like terms that form the binomial factors

It represents the sum of the coefficients

It indicates the greatest common factor

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example provided, what is the first step in factoring the trinomial using a table?

Add the coefficients of the middle term

Divide the trinomial by a constant

Multiply the coefficients of the first and last terms

Identify the greatest common factor

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the correct binomial factors when using the table method?

By finding two numbers that multiply to the constant term

By identifying two numbers that add to the middle term's coefficient

By choosing two numbers that subtract to the last term's coefficient

By selecting two numbers that divide the first term's coefficient

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you be cautious of when factoring trinomials with negative coefficients?

Keeping track of the negative signs

Ensuring the factors are positive

Reversing the order of the terms

Ignoring the negative signs

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of the video, what is the result of factoring the trinomial 3X^2 - 7X - 40?

(X - 5)(3X + 8)

(3X - 5)(X + 8)

(3X + 5)(X - 8)

(X + 5)(3X - 8)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in factoring a trinomial with a common factor?

Multiply the trinomial by the common factor

Divide each term by the common factor

Add the common factor to each term

Subtract the common factor from the trinomial

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