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Factoring Questions

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Factoring Questions
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor by GCF:

3x3 - 15x2 + 27x

3x(x2 - 5x + 9)

3(x3 - 5x2 + 9x)

3x2(x - 5 + 9)

3x3(x - 5 + 9)

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor by GCF:

8x + 12

2(4x + 6)

4(2x + 12)

4(2x + 3)

8(x + 12)

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor by GCF:

24x2 - 12x + 30

2(12x2 - 6x + 15)

4(6x2 - 3x + 7)

6(4x2 - 2x + 5)

6x(4x - 2 + 5)

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor by GCF:

16x2 - 40x

4(4x2 - 10x)

4x(4x - 10)

8(2x2 - 5x)

8x(2x - 5)

5.

DROPDOWN QUESTION

1 min • 1 pt

Factor by grouping to find all real solutions to the equation 16x3−48x2−x+316x^3-48x^2-x+3 .

Step 1 - factor out GCF's: ​ (a)   (x-3)​ (b)   (x-3)

Step 2 - "commons & leftovers" : ​ (x-3) ​ (c)  

Step 3 - factor difference of squares: (x-3)​ (d)  

Step 4 - Solve: ​ (e)  

16x216x^2  

−1-1  

(16x2−1)\left(16x^2-1\right)  

(4x+1)(4x−1)\left(4x+1\right)\left(4x-1\right)  

x =3, ±14x\ =3,\ \pm\frac{1}{4}  

x=±3, ±4x=\pm3,\ \pm4

(8x+1)(2x−1)\left(8x+1\right)\left(2x-1\right)

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

+1+1

Tags

CCSS.HSF-IF.C.7C

6.

MATH RESPONSE QUESTION

1 min • 1 pt

If a = 4x and b = 5, write a SUM of Cubes Problem that would need to then be factored.

64x3+12564x^3+125

Mathematical Equivalence

ON

Tags

CCSS.HSA.APR.C.4

7.

DRAG AND DROP QUESTION

1 min • 1 pt

Complete the steps to solve −x4+14x2−45=0-x^4+14x^2-45=0 by factoring.

−(x4−14x2+45)=0-\left(x^4-14x^2+45\right)=0  

−(x4−14x2−45)=0-\left(x^4-14x^2-45\right)=0

−(x2−9)(x2−5)=0-\left(x^2-9\right)\left(x^2-5\right)=0  

x=±3, ±5x=\pm3,\ \pm\sqrt[]{5}  

x=±3, ±5ix=\pm3,\ \pm\sqrt[]{5}i

Tags

CCSS.HSA-REI.B.4B

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