Factoring Cubes and Trinomials

The video tutorial explains how to factor sums and differences of cubes into binomials and trinomials. It provides formulas for both cases and demonstrates the process with two examples: factoring X^3 + 64 and 8X^3 - 27. The tutorial emphasizes recognizing perfect cubes and applying the appropriate formulas to achieve the correct factors.

What is the binomial factor for a sum of cubes in the form A^3 + B^3?

• A - B

• A^2 + AB + B^2

• A + B

• A^2 - AB + B^2

Tags

CCSS.HSA.APR.C.4

Which of the following is the trinomial factor for a difference of cubes in the form A^3 - B^3?

• A^2 - AB + B^2

• A^2 + AB + B^2

• A + B

• A - B

Tags

CCSS.8.EE.A.2

In the expression X^3 + 64, what is the value of B?

• 8

• 16

• 4

• 2

Tags

CCSS.HSA.APR.C.4

What is the first term of the trinomial factor when factoring X^3 + 64?

• X^2

• 4X

• 16

• X + 4

Tags

CCSS.HSA.APR.C.4

How can 8X^3 be expressed as a perfect cube?

• (3X)^3

• (4X)^3

• (X)^3

• (2X)^3

Tags

CCSS.HSA.APR.C.4

What is the binomial factor for the expression 8X^3 - 27?

• X + 3

• 2X + 3

• X - 3

• 2X - 3

Tags

CCSS.HSA.APR.C.4

In the expression 8X^3 - 27, what is the value of A?

• 3

• 3X

• 2

• 2X

Tags

CCSS.HSA.APR.C.4

What is the value of B^2 in the trinomial factor for 8X^3 - 27?

• 6

• 9

• 12

• 27

Tags

CCSS.8.EE.A.2

Which of the following is a perfect cube?

• 64

• 27

• 16

• 81

Tags

CCSS.HSA.APR.C.4

What is the trinomial factor for the expression 8X^3 - 27?

• 4X^2 + 6X + 9

• X^2 + 6X + 9

• X^2 - 6X + 9

• 4X^2 - 6X + 9

Tags

CCSS.HSA.APR.C.4