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Factoring Pre-Assessment

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Factoring Pre-Assessment
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18 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

x2−25x^2-25  

(x-5)(x+5)

(x-5)(x-5)

(x−5)2\left(x-5\right)^2  

(x+5)(x+5)

Tags

CCSS.HSA.APR.C.4

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

x2−9x+20x^2-9x+20  

(x+5)(x+4)

(x-5)(x-4)

(x+2)(x+10)

(x-10)(x+2)

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

x2+4x−12x^2+4x-12  

(x+3)(x-4)

(x-6)(x+2)

(x+4)(x-3)

(x+6)(x-2)

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

3x2−9x3x^2-9x  

3x(x-3)

9x(3x-3)

3x2(1−3x)3x^2\left(1-3x\right)  

3x(3x-1)

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.

Step 1 - Factor out the negative: ​ (a)  

Step 2 - Factor the trinomial: ​ (b)  

Step 3 - Factor the Difference of Squares: ​ (c)  

Step 4 - Solve: ​ (d)  

−(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.

MATCH QUESTION

1 min • 1 pt

Match each polynomial to its factored form:

(x+4)(x+1)

x2+5x+4x^2+5x+4

(x-4)(x+1)

x2−5x+4x^2-5x+4

(x+4)(x-1)

x2−3x−4x^2-3x-4

(x-4)(x-1)

x2+3x−4x^2+3x-4

7.

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

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