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Factoring Polynomials

Authored by Catt Huth

Mathematics

10th - 12th Grade

CCSS covered

Used 14+ times

Factoring Polynomials
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15 questions

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1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

When factoring the first step is

Look for GCF

Multiply ac

check for factors that add to c

look for special case you can apply

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 6x2+18x+420-6x^2+18x+420  

 6(x+35)(x2)-6\left(x+35\right)\left(x-2\right)  

 6(x+7)(x10)-6\left(x+7\right)\left(x-10\right)  

 6(x+10)(x7)-6\left(x+10\right)\left(x-7\right)  

Not Factorable (Prime)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.B.2

CCSS.HSA.REI.B.4

3.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Factor completely

 x4+5x214x^4+5x^2-14  
when writing your answer: No spaces; ^ before exponent, all lower case.

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 x364x^3-64  is a 

Perfect cube

Difference of cubes

Difference of squares

Sum of cubes

Prime Polynomial

Tags

CCSS.HSA.APR.C.4

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factor Completely

 x364x^3-64  

 (x4)(3x2+4x+16)\left(x-4\right)\left(3x^2+4x+16\right)  

 (x+6)(x2+3x+17)\left(x+6\right)\left(x^2+3x+17\right)  

 (x4)(x2+4x+16)\left(x-4\right)\left(x^2+4x+16\right) 

 (x+4)(x24x+16)\left(x+4\right)\left(x^2-4x+16\right) 

Prime Polynomial

Tags

CCSS.HSA.APR.C.4

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factor completely

 x3+2x25x10x^3+2x^2-5x-10  

 (x+1)(x25)\left(x+1\right)\left(x^2-5\right)  

 (x+2)(x25)\left(x+2\right)\left(x^2-5\right)  

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

 x(x25)x\left(x^2-5\right)  

 (x2)(x2+5)\left(x-2\right)\left(x^2+5\right)  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

7.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Factor completely (check each factor)

 9x2259x^2-25  

 (x1)\left(x-1\right)  

 (3x5)\left(3x-5\right)  

 9x-9x  

 (3x+5)\left(3x+5\right)  

 (9x+25)\left(9x+25\right)  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

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