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Factor completely. 1) 27x^3 - 9x^2 + 12x

Question : Factor completely. 1) 27x^3 - 9x^2 + 12x : 2151562

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Factor completely.

1) 27x3 - 9x2 + 12x

A) 3x(9x2 - 3x + 4)

B) 3x(9x3 - 3x2 + 4x)

C) x(27x2 - 9x + 12)

D) 3(9x3 - 3x2 + 4x)

2) 36x3y + 28xy6

A) 4x(9x2y + 7y6)

B) 4y(9x3 + 7xy5)

C) 4xy(9x2 + 7y5)

D) xy(36x2 + 28y5)

3) 5x + 45 + xy + 9y

A) (x + 9y)(5 + y)

B) (y + 9)(x + 5)

C) (x + 9)(5 + y)

D) (y + 9)(5x + y)

4) 5xy + 15x + 7y + 21

A) (5x + 7y)(y + 3)

B) (5x + y)(7y + 3)

C) (5x + 3)(y + 7)

D) (5x + 7)(y + 3)

5) x3 + 2x + x2 + 2

A) (x2 + 1)(2x + 1)

B) (x2 + 1)(x + 2)

C) (x2 + 2)(x + 1)

D) (2x + 1)(x + 1)

6) 20x6 - 15x3 + 12x3 - 9

A) (20x3 - 3)(x3 + 3)

B) (5x3 + 3)(4x3 - 3)

C) (5x3 - 3)(4x3 + 3)

D) (5x6 + 3)(4x - 3)

7) 3x2 - 3x - 18

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

B) 3(x - 2)(x + 3)

C) prime

D) 3(x + 2)(x - 3)

8) 6x2 - 18xy - 24y2

A) (6x - 6y)(x + 4y)

B) 6(x + y)(x - 4y)

C) 6(x - y)(x + 4y)

D) prime

9) 3x2 - 24x + 45

A) 3(x - 15)(x + 1)

B) prime

C) 3(x - 5)(x - 3)

D) (x - 5)(3x - 9)

10) 3x3 + 3x2y - 36xy2

A) prime

B) (x - 3y)(3x2 + 12xy)

C) 3x(x + 3y)(x - 4y)

D) 3x(x - 3y)(x + 4y)

11) x3 - x2 - 12x

A) (x2 + 1)(x - 12)

B) prime

C) x(x + 3)(x - 4)

D) x(x + 4)(x - 3)

12) 3x4 + 30x3 + 48x2

A) x2(3x + 6)(x + 8)

B) x2(x + 2)(3x + 24)

C) 3x2(x2 + 10x + 16)

D) 3x2(x + 2)(x + 8)

13) 7x2 + 33x - 10

A) (7x - 5)(x + 2)

B) (7x + 5)(x - 2)

C) (7x + 2)(x - 5)

D) (7x - 2)(x + 5)

14) 20x2 + 23x + 6

A) (20x + 3)(x + 2)

B) (4x - 3)(5x - 2)

C) prime

D) (4x + 3)(5x + 2)

15) 20x2 - 31xy + 12y2

A) (4x + 3y)(5x + 4y)

B) (20x + 3y)(x + 4y)

C) prime

D) (4x - 3y)(5x - 4y)

16) 10x2 + 9xy - 9y2

A) (2x + 3y)(5x - 3y)

B) (2x - 3y)(5x + 3y)

C) prime

D) (10x + 3y)(x - 3y)

17) 15x3 + 28x2 + 12x

A) x(3x + 2)(5x + 6)

B) x(3x + 6)(5x + 2)

C) 3x(x + 2)(5x + 6)

D) prime

18) 6x3 - 26x2 + 28x

A) x(2x - 2)(3x - 7)

B) 2x(x + 2)(3x + 7)

C) 2x(x - 2)(3x - 7)

D) prime

19) 25a3 - 36a

A) a(25a + 1)(a - 36)

B) a(5a + 6)(5a - 6)

C) (5a2 + 6)(5a - 6)

D) a(5a - 6)2

20) 98x2y - 32y

A) 2y(7x + 4)(7x - 4)

B) 2y(7x - 4)2

C) prime

D) 2y(7x + 4)2

21) 147a4b - 12b3

A) (21a + 6b)(7ab - 2b2)

B) 3b(7a + 2b)2

C) 3b(7a - 2b)2

D) 3b(7a2 + 2b)(7a2 - 2b)

22) 16 -(x + 5y)2

A) (4 + 5xy)(4 - 5xy)

B) (4 + x + 5y)(4 - x - 5y)

C) (4 + x + y)(4 - x - y)

D) (4 + x - 5y)(4 - x - 5y)

23) 128k3m - 54m4

A) 2m(4k - 3m)(16k2 + 12km + 9m2)

B) (8km - 6m2)(16k2 + 9m2)

C) 2m(4k + 3m2)(16k2 - 12km + 9km2)

D) 2m(64k - 3m)(k2 + 12km + 9m2)

24) 384x3 + 750

A) 6(4x + 5)(16x2 + 25)

B) 6(4x + 5)(16x2 - 20x + 25)

C) 6(4x - 5)(16x2 + 20x + 25)

D) 6(64x3 + 125)

25) 750x3 - 384x6

A) 6(5x + 4x2)(25x2 - 20x3 + 16x4)

B) 6x3(5 - 4x)(25 + 20x + 16x2)

C) 6(5x -4x2)(25x2 + 20x3 + 16x4)

D) 6x3(5 - 4x)(25 + 16x2)

26) 875x3y6 - 63x6y3

A) 7x3y3(125y3 - 9x3)

B) 7(5xy2 + 3x2y)(25x2y4 - 15x3y3 + 9x4y2)

C) 7x3y3(5y + 3x)(25y2 - 15xy + 9x2)

D) 7x3y3(5y - 3x)(25y2 + 15xy + 9x2)

27) x4 - 14x2 + 45

A) (x2 + 5)(x2 - 9)

B) (x2 - 5)(x2 - 9)

C) prime

D) (x2 + 5)(x2 + 1)

Solution
5 (1 Ratings )

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