Factoring polynomials
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0

8x - 16

8(x-2)

GCF:8

to get the x divide x and the GCF

to get the 2 divide 16 to 8 
 

0

7 x + 49

7(x-7)

GCF:7

to get the x divide x and the GCF

to get the 2 divide 49 to 7
 

0

x-16

(x+4)(x-4)

take the S.Q of x2 which is x

take the S.Q of 16 which is 4

0

6 x - 24

6(x-4)

GCF:6

to get the x divide x and the GCF

to get the 4 divide 24 to 6 
 

200

9x - 81

9(x - 9)


GCF:9 


to get the x divide x and the GCF

to get the 9 divide 81 to 9

200

8x- 48x

8x(x-6)

to get 8x get the GCF first which is 8 and you get the x because they have both x

divide 8xto 8x to get the x

and divide 48 and 8 to get 6

200

x2 - 25

(x-5) (x + 5)

take the S.Q of x2 which is x

take the S.Q of 25 which is 5

200

x2 + 5 + 6 

(x+2) (x+3)

300

5x- 25x 

5x(x-5)

to get 5x get the GCF first which is 5 and you get the x because they have both x

divide 5xto 5x to get the x

and divide 25 and 5 get 5

300

x2 + 12 +35

(x+7)(x+5)


get the 1st factor which is x

now get the factor for 35 which is 7x5


then plus it  7+5 is 12


300

9x2 - 24

(3x - 6) (3x + 6)

S.Q OF 9 is 3

S.Q of x2 is X

S.Q of 24 is  6

300

x2 +  64

(x + 8) (x - 8)

take the S.Q of x2 which is x

take the S.Q of 64 which is 8

400

x+ 8 + 16

(x+4) (x+4)


get the 1st factor which is x

now get the factor for 16 which is 4x4


then  plus it 4+4 is 8

400

x2 + 22+ 121

(x+11) (x+11)


get the 1st factor which is x

now get the factor for 121 which is 11x11


then plus it  11+11 = 22

400

4x2 + 81

(2x+9) (2x - 9)

S.Q OF 4 is 2

S.Q of x2 is X

S.Q of 81 is  9

400

X2 + 17 + 65

(x + 13) (x + 5)

get the 1st factor which is x

now get the factor for 65 which is 13 x5


then plus it  13 + 5 = 17

500

x+ 9 + 18

(x+6)(x+3)


get the 1st factor which is x

now get the factor for 18 which is 6x3


then plus it  6+3 is 8

500

x2 - 8

(x-2)(x+2)


take the S.Q of x2 which is x

take the S.Q of 8 which is 2

500

x+ 36 + 155

(x+31)(x+5)


get the 1st factor which is x

now get the factor for 155 which is 31 x 5


then plus it  31 + 5= 36

500
X2 + 13 + 42

(x+7) (x+6)

get the 1st factor which is x

now get the factor for 42 which is 7 x6


then plus it  7+6=13

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