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Polynomial Operations and Factoring

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Polynomial Operations and Factoring
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor
9x2-6x-8

(3x+2)(3x-4)

(3x+2)(3x+4)

(3x-2)(3x-4)

(x-1)(9x+8)

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(5x+2)(x2-3x+6)

5x3 - 17x2 +24x +12

5x3 + 17x2 - 24x +12

5x3 - 13x2 + 24x +12

5x3 +13x2 - 24x - 12

Tags

CCSS.HSA.APR.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

4a(5a2 - a + 4)

20a3 - 4a2 + 16a

20a2 - 5a + 8a

20a2 + 4a2 + 16a

20a3 +3a2 + 16a

Tags

CCSS.HSA.APR.A.1

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor: x2 – 5x – 24

(x - 5)(x + 19)

(x - 8)(x + 3)

(x - 3)(x + 8)

(x - 19)(x + 5)

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor completely

16v2 - 1

(4v + 1)(4v + 1)

(16v + 1)(16v + 1)

(4v + 1)(4v + 1)

(4v + 1)(4v - 1)

Tags

CCSS.HSA.APR.C.4

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

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

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