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Factoring GCF, Trinomials, and Difference of Squares

Authored by Meghan Ragghianti

8th - 12th Grade

Used 3+ times

Factoring GCF, Trinomials, and Difference of Squares
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11 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factor the GREATEST common factor out of
 4x412x3+8x4x^4-12x^3+8x   

 2x(2x36x2+4)2x\left(2x^3-6x^2+4\right)  

 2(2x412x3+4)2\left(2x^4-12x^3+4\right)  

 4x(x33x2+2)4x\left(x^3-3x^2+2\right)  

 4(x43x3+2x)4\left(x^4-3x^3+2x\right)  

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 Factor the GCF out of 10x230x+40Factor\ the\ GCF\ out\ of\ 10x^2-30x+40 

 10(x23x+4)10\left(x^2-3x+4\right)  

 5(2x26x+8)5\left(2x^2-6x+8\right)  

 5x(2x6x+8)5x\left(2x-6x+8\right)  

 x23x+4x^2-3x+4  

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 x2+3x28x^2+3x-28  Factor

 (x7)(x+4)\left(x-7\right)\left(x+4\right)  

 (x+7)(x4)\left(x+7\right)\left(x-4\right)  

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor  6x211x356x^2-11x-35  

 (x21)(x+10)\left(x-21\right)\left(x+10\right)  

 (x10)(x+21)\left(x-10\right)\left(x+21\right)  

 (3x+5)(2x7)\left(3x+5\right)\left(2x-7\right)  

 (3x5)(2x+7)\left(3x-5\right)\left(2x+7\right)  

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor  2x24x62x^2-4x-6  

 (2x6)(x+1)\left(2x-6\right)\left(x+1\right)  

 (2x+2)(x3)\left(2x+2\right)\left(x-3\right)  

 2(x22x3)2\left(x^2-2x-3\right)  

 2(x3)(x+1)2\left(x-3\right)\left(x+1\right)  

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor completely  4x2+26x+304x^2+26x+30  

 (4x+6)(x+5)\left(4x+6\right)\left(x+5\right)  

 (2x+10)(2x+3)\left(2x+10\right)\left(2x+3\right)  

 2(2x+3)(x+5)2\left(2x+3\right)\left(x+5\right)  

 2(2x2+13x+15)2\left(2x^2+13x+15\right)  

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Factor x236x^2-36 

 (x6)(x+6)\left(x-6\right)\left(x+6\right)  

 (x6)(x6)\left(x-6\right)\left(x-6\right)  

 6x(x6)6x\left(x-6\right)  

 (x+6)(x+6)\left(x+6\right)\left(x+6\right)  

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