Factoring Trinomials Using the Diamond Method

Factoring Trinomials Using the Diamond Method

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Practice Problem

Hard

CCSS
HSA-REI.B.4B

Standards-aligned

Created by

Ethan Morris

FREE Resource

Standards-aligned

CCSS.HSA-REI.B.4B
This video tutorial covers factoring trinomials using the diamond method. It begins with an introduction to the method and proceeds with examples where the leading coefficient a is 1 and where a is not 1, explaining the additional steps required in the latter case. The importance of checking for a greatest common factor (GCF) before factoring is emphasized. The tutorial concludes with a complex example involving fractions, demonstrating the complete factoring process.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the two numbers that multiply to 24 and add up to -14?

-12 and -2

-2 and 2

-12 and 12

12 and 2

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the factored form of the polynomial x^2 - 14x + 24?

(x-2)(x+2)

(x-12)(x-2)

(x+12)(x+2)

(x-12)(x+12)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which pair of numbers multiplies to -15 and adds up to 2?

5 and 3

-3 and -5

3 and -5

5 and -3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you verify the factored form of a trinomial?

By using the FOIL method

By adding

By dividing

By subtracting

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What additional step is needed when 'a' is not 1 in factoring trinomials?

Multiply by 'a'

Divide by 'a'

Subtract 'a'

Add 'a'

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the factored form of 3x^2 + 11x + 6?

3(x+3)(x+2)

3(x-3)(x-2)

(3x+2)(x+3)

(3x+3)(x+2)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you always check before factoring a polynomial?

If it can be simplified

For a GCF

If it is prime

For a LCM

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