FACTOR IN ONE VARIABLE WORKSHEET

Factorize the following algebraic expressions

Problem 1 :

-3x + 21

Solution

Problem 2 :

6x² + 3x

Solution

Problem 3 :

18x² + 12xy

Solution

Problem 4 :

6tm - 24m²

Solution

Problem 5 :

8x + 12y + 10x + 15y

Solution

Problem 6 :

x² - 7x + 3x - 21

Solution

Problem 7 :

7x + 4

Solution

Problem 8 :

20x - 10

Solution

Problem 9 :

18xy - 3yz

Solution

Problem 10 :

12mn + 18mp

Solution

Problem 11 :

16m² - 4m

Solution

Problem 12 :

3x² + 6x - 18

Solution

Problem 13 :

-6x - 24

Solution

Problem 14 :

-2xy - 8x

Solution

Problem 15 :

24mn - 16m²n

Solution

Problem 16 :

 -x²y - y²x

Solution

Problem 17 :

12m²n + 24m²n²

Solution

Problem 18 :

72y²p - 18y³p²

Solution

Problem 19 :

4(x + 3) + m(x + 3)

Solution

Problem 20 :

 x(x - 1) + 5(x - 1)

Solution

Problem 21 :

y(y + 4) - 6(y + 4)

Solution

Problem 22 :

  x² (x + 7) + x (x + 7)

Solution

Problem 23 :

3x(x - 4) - 7(x - 4)

Solution

Answer Key

1)  3(-x + 7)

2)  3x (2x + 1)

3)  6x (3x + 2y)

4)  6m (-4m + t)

5)  9 (2x + 3y)

6)  (x + 3) (x - 7)

7)  cannot factor

8)  10 (2x - 1)

9)  3y (6x - z)

10)  6m (2n + 3p)

11)  4m(4m - 1)

12)  3(x² + 2x - 6)

13)  -6(x + 4)

14)  -2x(y + 4)

15)  8mn (-2m + 3)

16)  -xy (x + y)

17)  12m²n (2n + 1)

18)  18py² (-py + 4)

19)  (x + 3) (m + 4)

20)  (x - 1) (x + 5)

21)   (y + 4) (y - 6)

22)   x(x + 1) (x + 7)

23)   (3x - 7) (x - 4)

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