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Factoring Group

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Factoring Group
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the factored form of x³+7x²-2x-14

(x²-2)(x-7)

(x²+2)(x-7)

(x²+2)(x+7)

(x²-2)(x+7)

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the factored form of 4x²+8x+10

2x(2x²+4x+5)

2x(x²+4x+10)

2(2x²+4x+10)

2(2x²+4x+5)

3.

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

4.

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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Fully factor by grouping: x3+2x2−x−2x^3 + 2x^2 - x - 2 .

(x2−1)(x+2)(x^2-1)(x+2)

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

(x+1)(x2+2)(x + 1)(x^2 + 2)

(x−1)(x2+2)(x - 1)(x^2 + 2)

6.

MATCH QUESTION

1 min • 1 pt

Match each polynomial with the correct label for factoring.

9x2+649x^2+64

Difference of

Two Cubes

64x3−164x^3-1

Sum of Two Squares

9x2−64x9x^2-64x

Sum of

Two Cubes

9x2−649x^2-64

GCF Only

x3+64x^3+64

Difference of

Two Squares

Tags

CCSS.HSA.APR.C.4

7.

MATH RESPONSE QUESTION

1 min • 1 pt

Media Image

Factor by Grouping: x3+3x2+2x+6x^3+3x^2+2x+6

(x2+2)(x+3)\left(x^2+2\right)\left(x+3\right)

Mathematical Equivalence

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