Question : Factor out the greatest common factor. 1) 5x - 15 : 2151891

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

Factor out the greatest common factor.

1) 5x - 15

A) 5x(x - 3)

B) 5(x - 3)

C) 5(x - 15)

D) 5x(-3)

2) 4x² + 20x

A) 4x(x + 5x)

B) 4x(x + 5)

C) 4(x² + 5x)

D) x(4x + 20)

3) 27x⁴ – 6x³ + 12x²

A) 3(9x⁴ – 2x³ + 4x²)

B) x²(27x² - 6x + 12)

C) 3x(9x³ – 2x² + 4x)

D) 3x²(9x² - 2x + 4)

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

A) (x² + 4x) + (3x + 12)

B) (x +4)(x + 3)

C) 4x(x + 3)

D) 3x(x +4)

5) x(4x + 5) + 3(4x + 5)

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

B) (4x + 3)(x + 5)

C) 3x(4x + 5)

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

6) x²(x - 15) - (x - 15)

A) (x³ – 15x²) - (x - 15)

B) (x - 15)(x² + 1)

C) (x - 15)(x² - 1)

D) x²(x - 15)

Factor by grouping. Assume any variable exponents represent whole numbers.

7) x³ – 4x² + 2x - 8

A) (x + 2)(x² - 4)

B) (x - 4)(x + 2)

C) (x + 4)(x² - 2)

D) (x - 4)(x² + 2)

8) x³ + 8x – 3x² - 24

A) (x + 3)(x² + 8)

B) (x - 3)(x² + 8)

C) (x - 3)(x + 8)

D) (x - 3)(x² - 8)

9) 3x³ + 15x² + 7x + 35

A) (x + 5)(3x² + 7)

B) (x + 5)(3x² - 7)

C) (x - 5)(3x² + 7)

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

Factor the trinomial, or state that the trinomial is prime.

10) x² - 6x - 7

A) (x - 1)(x - 7)

B) (x - 1)(x + 1)

C) (x + 1)(x - 7)

D) prime

11) x² + 11x + 18

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

B) (x - 9)(x + 1)

C) (x + 9)(x + 2)

D) prime

12) x² - 15x + 54

A) (x + 6)(x + 1)

B) (x + 6)(x - 9)

C) (x - 6)(x - 9)

D) prime

13) x² + 6x - 40

A) (x - 10)(x + 1)

B) (x + 10)(x - 4)

C) (x - 10)(x + 4)

D) prime

14) x² - x - 72

A) (x + 1)(x - 17)

B) (x + 9)(x - 8)

C) (x + 8)(x - 9)

D) prime

15) x² - x - 48

A) (x - 48)(x + 1)

B) (x - 6)(x + 8)

C) (x + 6)(x - 8)

D) prime

16) 5x² + 37x + 42

A) (5x + 6)(x + 7)

B) (5x + 7)(x + 6)

C) (5x + 7)(5x + 6)

D) prime

17) 2x² - 25x + 63

A) 2(x - 7)(x - 9)

B) (2x + 9)(x - 7)

C) (2x - 7)(x - 9)

D) (2x - 7)(2x + 9)

18) 5x² - 9x - 2

A) (5x + 1)(x - 2)

B) (5x - 1)(x + 2)

C) (5x - 2)(x + 1)

D) prime

19) 5x² + 3x + 2

A) (5x + 2)(x - 1)

B) (5x - 2)(x + 1)

C) (5x + 1)(x - 2)

D) prime

20) 9x² + 18x + 8

A) (9x + 2)(x + 4)

B) (3x + 2)(3x + 4)

C) (3x - 2)(3x - 4)

D) prime

21) 20x² - 23x + 6

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

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

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

D) prime

22) 8x² + 6x - 9

A) (8x + 3)(x - 3)

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

C) (2x - 3)(4x + 3)

D) prime

23) x² - 2xy - 48y²

A) (x + 8y)(x + y)

B) (x - 8y)(x + 6y)

C) (x + 8y)(x + 6y)

D) prime

24) 5x² + 6xy + y²

A) (5x - y)(x - y)

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

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

D) prime

25) 7x² - 10xy – 8y²

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

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

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

D) prime

26) 6x² + 17xy + 12y²

A) (2x - 3y)(3x - 4y)

B) (6x + 3y)(x + 4y)

C) (2x + 3y)(3x + 4y)

D) prime