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Factor Cubics Completely with Diff/Sum of Cubes

Authored by Adelyn Wallace

Mathematics

9th - 12th Grade

10 Questions

CCSS covered

Used 4+ times

Factor Cubics Completely with Diff/Sum of Cubes
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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Complete the formula
a³-b³=

(a-b)(a²+ab+b²)
(a+b)(a²-ab+b²)
(a-b)(a²-ab+b²)
(a+b)(a²+ab+b²)

Tags

CCSS.HSA.APR.C.4

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Complete the formula

a³+b³=

(a-b)(a²+ab+b²)

(a+b)(a²-ab+b²)

(a-b)(a²-ab+b²)

(a+b)(a²+ab+b²)

Tags

CCSS.HSA.APR.C.4

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor:   x+ 1

(x + 1)3
(x+1)(x- x + 1)
(x - 1) (x2 + x - 1)
(x + 1)(x2 - 2x + 1)

Tags

CCSS.HSA.APR.C.4

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor
27x³-64

(3x-4)(9x²+12x+16)
(3x-4)(9x²-12x+16)
(3x+4)(9x²-12x+16)
(3x+4)(9x²+12x+16)

Tags

CCSS.HSA.APR.C.4

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Identify if the expression can be factored as sum or difference of cubes:

3x3 + 24

No

Yes

Yes, getting GCF first

It is a sum of squares

Tags

CCSS.HSA.APR.C.4

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

WHAT FACTORING TECHNIQUE YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF 27X3-343?

DIFFERENCE OF TWO CUBES

DIFFERENCE OF TWO SQUARES

FACTORING BY GCF

SUM OF TWO CUBES

Tags

CCSS.HSA.APR.C.4

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor the polynomial. 
x2-4x-32

(x-8)(x+4)
(x-4)(x-32)
(x+3)(x-4)
x+2)(x+5)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.REI.B.4

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