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Factoring Trinomials and Binomials

Factoring Trinomials and Binomials

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to factor trinomials with a leading coefficient other than 1. It begins with a review of multiplying binomials to set the foundation for understanding factoring. The tutorial highlights the importance of middle terms in the factoring process and demonstrates this through multiple examples. Each example is broken down step-by-step, showing how to split the middle term and use grouping to factor the trinomial. The video concludes with a final example involving negative terms, reinforcing the learned concepts.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of this video tutorial?

Graphing linear equations

Factoring trinomials with a leading coefficient other than 1

Factoring trinomials with a leading coefficient of 1

Solving quadratic equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying the binomials 2x - 5 and x + 3?

2x^2 + 7x + 15

2x^2 - 5x + 3

2x^2 - 7x - 15

2x^2 + x - 15

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When simplifying the expression 5x^2 - 2x - 10x + 4, what is the middle term?

-10x

-6x

-8x

-12x

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do the middle terms -10x and 3x combine to form in the trinomial?

-7x

3x

0x

-13x

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the product of the middle terms -10 and 3?

3

-13

-30

30

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the key pattern to notice when factoring trinomials?

Middle terms are irrelevant

Middle terms add to the last term

Middle terms multiply to the first term

Middle terms add to the middle term and multiply to the product of the first and last terms

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the trinomial 2x^2 + 9x + 4, what is the product of a and c?

8

9

18

4

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