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Factoring AM Method

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Factoring AM Method
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor
n2-13n+40

(n-5)(n-8)

(n+5)(n-8)

(n-5)(n+8)

(n+6)(n+1)

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor
n2 + 16n + 63

(n-7)(n+4)

(n+7)(n-9)

(n-3)(n-10)

(n+7)(n+9)

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor
k2+7x+10

(k+2)(k+5)

(k-2)(k-5)

(k+10)(k+4)

(k+2)(k-5)

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor
v2 - 6v + 9

(v-3)2

(v-6)2

(v-9)(v+6)

not factorable

Tags

CCSS.HSA.APR.C.4

5.

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

6.

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

7.

DRAG AND DROP QUESTION

1 min • 1 pt

Factor the following completely:

20x³ + 15x²

​ (a)   (​ (b)   )

5x²

4x + 3

15x

20x²

2x + 3

5x

4x² + 3

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