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Factoring

Factoring

Assessment

Presentation

•

Mathematics

•

10th Grade

•

Medium

Created by

Juan Montano

Used 12+ times

FREE Resource

11 Slides • 27 Questions

1

Factoring

By Juan Montano

2

Common factor and Difference of Squares

3

Multiple Choice

Factor:

6m + 2n - 14

1

2(3m + n - 7)

2

2m(1 + n - 7)

3

2(3m + n + 7)

4

2m(1 + n + 7)

4

Math Response

Factor:

60x2y - 3xy

Type answer here
Deg°
Rad

5

Math Response

Factor:

8x2 + 10x + 16xy

Type answer here
Deg°
Rad

6

Multiple Choice

Factor the following completely.

9n4−169n^4-16  

1

(3n−4)(3n+4)\left(3n-4\right)\left(3n+4\right)  

2

n2(3n+4)(3n−4)n^2\left(3n+4\right)\left(3n-4\right)  

3

(3n2−4)(3n2+4)\left(3n^2-4\right)\left(3n^2+4\right)  

4

primeprime  

7

Math Response

Factor the following completely.

81x2−10081x^2-100

Type answer here
Deg°
Rad

8

Math Response

Factor the following completely.

64x4−164x^4-1  

Type answer here
Deg°
Rad

9

For 4, 6, 8, ... terms

  1. Get the common factor ​for each pair

  2. Get the common factor one more time of all the terms

Factoring By Grouping​

10

Factoring By Grouping​

11

Multiple Choice

Factor by grouping:

4p3+8p2+3p+64p^3+8p^2+3p+6  

1

(2p2+3)(p+2)\left(2p^2+3\right)\left(p+2\right)  

2

(2p2+6)(p+4)\left(2p^2+6\right)\left(p+4\right)  

3

(4p2+3)(p+2)\left(4p^2+3\right)\left(p+2\right)  

4

(4p2+8p)(3p+6)\left(4p^2+8p\right)\left(3p+6\right)  

12

Multiple Choice

What is the factored form of 5n3−10n2+3n−65n^3-10n^2+3n-6  ?

1

(5n2+3)(n−2)\left(5n^2+3\right)\left(n-2\right)  

2

(5n2−3)(n−2)\left(5n^2-3\right)\left(n-2\right)  

3

(5n3+3)(n−2)\left(5n^3+3\right)\left(n-2\right)  

4

10n(n2−6)10n\left(n^2-6\right)  

13

Multiple Choice

Factor by grouping: 20p3−25p2+4p−520p^3-25p^2+4p-5  

1

(5p2−1)(4p−5)\left(5p^2-1\right)\left(4p-5\right)  

2

(5p2+1)(4p+5)\left(5p^2+1\right)\left(4p+5\right)  

3

(5p2+1)(4p−5)\left(5p^2+1\right)\left(4p-5\right)  

4

(5p2−1)(4p+5)\left(5p^2-1\right)\left(4p+5\right)  

14

Math Response

Factor by grouping: x3−4x2−4x+16x^3-4x^2-4x+16  

Type answer here
Deg°
Rad

15

  1. ​Look for two numbers whos product is -15 and its addition is -2

  2. Construct your binomials using those numbers​

Trinomial x2+bx+c

16

Multiple Choice

Select two numbers that fullfil the following conditions

a) its product is -5

b) its addition is -4

1

1, 5

2

-1, 5

3

1, -5

4

3, -2

17

Multiple Choice

Select two numbers that fullfil the following conditions

a) its product is -12

b) its addition is -4

1

3, 4

2

-4, 3

3

-6, 2

4

6, -2

18

Multiple Choice

Select two numbers that fullfil the following conditions

a) its product is -27

b) its addition is 6

1

-9, -3

2

-9, 3

3

9, -3

4

9, 3

19

Math Response

Factor
x2 - 2x - 24

Type answer here
Deg°
Rad

20

Math Response

Factor
y2 + 16y + 63

Type answer here
Deg°
Rad

21

Math Response

Factor Completely x2+11x+28x^2+11x+28  

Type answer here
Deg°
Rad

22

Math Response

Factor
x2 + 9x - 36
Type answer here
Deg°
Rad

23

Math Response

Factor completely: 
3x2 + 18x +15
Hint: Factor GCF first.
Type answer here
Deg°
Rad

24

  1. ​Multiply leading coefficient by constant term (2 by -1 is -2)

  2. Look for two numbers whos product is -2 and whos addition is the coefficient of the linear term (x-term +1)

  3. Copy the leading term, write down two new terms with the numbers found and copy the constant term

  4. Use grouping to factor it

​

Trinomials ax2+bx+c

25

Trinomials ax2+bx+c

26

Math Response

Factor completely:
3x2+5x−123x^2+5x-12

Type answer here
Deg°
Rad

27

Math Response

A rectangle has an area of 2x2−19x+452x^2-19x+45 ft2. Write the product of the dimensions of the rectangle

Type answer here
Deg°
Rad

28

Math Response

Factor completely:
2x2+17x+212x^2+17x+21

Type answer here
Deg°
Rad

29

Math Response

Factor completely:
3x2+14x−53x^2+14x-5

Type answer here
Deg°
Rad

30

Difference or addition of cubes

  1. ​Get the cubic root of each term

  2. Write them in the binomial part

  3. Create the special trinomial following the rule

31

Difference/Addition of Cubes

Some text here about the topic of discussion

32

Math Response

Factor the following expression

x3−1x^3-1  

Type answer here
Deg°
Rad

33

Math Response

Factor the following expression

8x3+278x^3+27  

Type answer here
Deg°
Rad

34

Math Response

Factor completely the following expression

2x3−162x^3-16  

Type answer here
Deg°
Rad

35

Perfect Square Trinomial

36

Perfect Square Trinomial

37

Math Response

Factor completely the following expression

9x2+6x+19x^2+6x+1  

Type answer here
Deg°
Rad

38

Math Response

Factor completely the following expression

49x2−28x+449x^2-28x+4  

Type answer here
Deg°
Rad

Factoring

By Juan Montano

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