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Multi Step Factoring

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Multi Step Factoring
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor:   3x2- 6x - 24

(3x - 8)(x + 3)

(3x + 4)(x - 6)

3(x - 2)(x + 4)

3(x + 2)(x - 4)

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor completely: 3x2-36x+96

(x-4)(x-8)

3(x-4)(x-8)

3(x+1)(x+32)

3(x-2)(x+16)

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor completely: 2x2+22x+60

(2x+10)(x+6)

(x+5)(x+6)

2(x+1)(x+30)

2(x+5)(x+6)

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor completely: -5x2+30x-40

-5(x-2)(x-4)

(x-2)(x-4)

-(5x-8)(x-5)

(5x+10)(x+4)

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

Find the missing number that makes the expression a perfect square. 49x2−28x+49x^2-28x+ _ Enter the expression written in factored form.

(7x−2)2\left(7x-2\right)^2

Mathematical Equivalence

ON

Tags

CCSS.HSA-REI.B.4B

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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