Multiplying Binomials: Box Method, FOIL, and Distribution Techniques

Multiplying Binomials: Box Method, FOIL, and Distribution Techniques

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSA.APR.A.1, HSA.APR.C.4

Standards-aligned

Created by

Mia Campbell

FREE Resource

Standards-aligned

CCSS.HSA.APR.A.1
,
CCSS.HSA.APR.C.4
This video tutorial covers three methods for multiplying binomials: distribution, FOIL, and the box method. The instructor explains each method step-by-step, highlighting the advantages of the box method for recognizing patterns and simplifying complex multiplications. Several examples are provided to demonstrate the application of these methods, with a focus on the box method due to its utility in handling higher polynomials and factoring.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the distribution method, what is the result of multiplying (x + 4)(x + 3)?

x^2 + 6x + 12

x^2 + 8x + 12

x^2 + 7x + 11

x^2 + 7x + 12

Tags

CCSS.HSA.APR.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

First, Outer, Inside, Line

Full, Outer, Inner, Last

First, Open, Inner, Last

First, Outer, Inner, Last

Tags

CCSS.HSA.APR.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of using the FOIL method on the binomials (x + 4) and (x + 3)?

x^2 + 5x + 12

x^2 + 8x + 12

x^2 + 6x + 12

x^2 + 7x + 12

Tags

CCSS.HSA.APR.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method involves multiplying the first terms, the outer terms, the inner terms, and the last terms of two binomials?

Distribution method

FOIL method

Box method

None of the above

Tags

CCSS.HSA.APR.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method is preferred for its structure when dealing with higher polynomials?

Distribution method

FOIL method

Box method

None of the above

Tags

CCSS.HSA.APR.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the box method particularly useful when factoring polynomials?

It simplifies multiplication

All of the above

It helps identify patterns easily

It reduces computational errors

Tags

CCSS.HSA.APR.A.1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What pattern is observed when squaring a binomial like (x + 5)^2 using the box method?

x^2 + 25x + 25

x^2 + 15x + 25

x^2 + 5x + 25

x^2 + 10x + 25

Tags

CCSS.HSA.APR.C.4

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