Factoring and Multiplying Binomials

Factoring and Multiplying Binomials

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

Rachel explains how to factor and multiply binomials. She introduces the concept of factoring binomials using the difference of squares, where a binomial in the form of a^2 - b^2 can be factored into (a + b)(a - b). She provides an example with x^2 - 16, showing how it can be factored into (x + 4)(x - 4). Rachel then moves on to multiplying binomials using the FOIL method, which stands for First, Outside, Inside, Last. She demonstrates this with the example (x + 3)(x + 5), resulting in x^2 + 8x + 15. The video concludes with a summary of the methods discussed.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in factoring a binomial?

Check if it is a sum of squares

Check if it is a difference of squares

Check if it is a product of squares

Check if it is a sum of cubes

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to factor a binomial in the form a^2 - b^2?

(a - b)(a - b)

(a - b)(a + b)

(a + b)(a + b)

(a + b)(a - b)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the expression x^2 - 16, what is the value of 'b'?

4

3

2

5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does FOIL stand for in the context of multiplying binomials?

First, Outer, Inner, Last

First, Outer, Inner, Longest

First, Outer, Inner, Least

First, Outer, Inner, Largest

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When multiplying (x + 3)(x + 5), what is the product of the outer terms?

8x

5x

15

3x

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying the inner terms in (x + 3)(x + 5)?

15

3x

5x

8x

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of (x + 3)(x + 5)?

x^2 + 6x + 10

x^2 + 6x + 15

x^2 + 8x + 15

x^2 + 8x + 10

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