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Cubic Equations by Factoring

Authored by Lisa Lee

Mathematics

9th - 12th Grade

Cubic Equations by Factoring
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factor

x3 − 27x^{3\ }-\ 27  

(x−3)(x2 +3x+9)\left(x-3\right)\left(x^{2\ }+3x+9\right)  

(x+3)(x2 +3x+9)\left(x+3\right)\left(x^{2\ }+3x+9\right)  

(x−3)(x2 −3x+9)\left(x-3\right)\left(x^{2\ }-3x+9\right)  

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factor

x3 + 27x^{3\ }+\ 27  

(x−3)(x2 +3x+9)\left(x-3\right)\left(x^{2\ }+3x+9\right)  

(x+3)(x2 −3x+9)\left(x+3\right)\left(x^{2\ }-3x+9\right)  

(x−3)(x2 −3x+9)\left(x-3\right)\left(x^{2\ }-3x+9\right)  

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factor

8x3 +18x^{3\ }+1  

(8x+1)(x2 +x+1)\left(8x+1\right)\left(x^{2\ }+x+1\right)  

(2x+1)(4x2 +x+1)\left(2x+1\right)\left(4x^{2\ }+x+1\right)  

(2x+1)(4x2 −2x+1)\left(2x+1\right)\left(4x^{2\ }-2x+1\right)  

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factor

27−8x3 27-8x^{3\ }  

(3−2x)(9+6x+4x2)\left(3-2x\right)\left(9+6x+4x^2\right)  

(3−2x)(9+6x−4x2)\left(3-2x\right)\left(9+6x-4x^2\right)  

(3+2x)(9+6x+4x2)\left(3+2x\right)\left(9+6x+4x^2\right)  

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Jason is factoring a "sum of cubes" problem. His first factor is

(x−5)\left(x-5\right) , what is the second factor?

(x2 + 5)\left(x^{2\ }+\ 5\right)  

(x2 +5x +25)\left(x^{2\ }+5x\ +25\right)  

(x2 +5x −25)\left(x^{2\ }+5x\ -25\right)  

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factor completely

x4 − 4x2 +3x^{4\ }-\ 4x^{2\ }+3  

(x−1)(x+1)(x2−3)\left(x-1\right)\left(x+1\right)\left(x^2-3\right)  

(x+1)(x+1)(x2−3)\left(x+1\right)\left(x+1\right)\left(x^2-3\right)  

(x2+1)(x2−3)\left(x^2+1\right)\left(x^2-3\right)  

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factor 

x4 +5x2 +4x^{4\ }+5x^{2\ }+4  

(x2−1)(x2 + 4)\left(x^2-1\right)\left(x^{2\ }+\ 4\right)  

(x2−1)(x2 − 4)\left(x^2-1\right)\left(x^{2\ }-\ 4\right)  

(x2+1)(x2+4)\left(x^2+1\right)\left(x^2+4\right)  

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