If a ball is thrown vertically upward from ground level

Question

1. Find the greatest common factor for the following list of terms.

16(x + y)⁴, 12(x + y)²

A) 192(x + y)⁶

B) 4(x + y)²

C) 12(x + y)⁴

D) 64(x + y)⁴

4. Factor by grouping.

6x³ + 2x² +6x +2

A) (6x + 1)(x² + 2)

B) (x + 2)(6x² + 1)

C) (6x + 2)(x² + 1)

D) 6(x + 2)(x² + 1)

5. True or False:  2x³ – 8y³ can be factored as a difference of squares.

7. True or False:  The binomial  s³ + t³ cannot be factored.

9. Factor completely.

m² – 7m + 10

A) (m + 3)(m –4)

B) (m + 5)(m – 2)

C) (m – 5)(m – 2)

D) (m – 10)(m – 1)

13. Factor completely.

2x² – 6x – 56

A) (2x + 4)(x – 14)

B) (2x + 8)(x – 7)

C) 2(x + 4)(x – 7)

D) 3(x + 8)(x – 7)

15. Factor completely using the trial-and-error method.

18x² + 15xy -  12y²

A) (3x -3y)(6x + 4y)

B) (6x -  4y)(3x + 3y)

C) (3x  - 4y)(6x + 3y)

D) (6x  - 3y)(3x + 4y)

17. Factor completely using the trial-and-error method.

3x³ – 9x² –84x

A) 3(x + 12)(x – 7)

B) 3x(x + 4)(x – 7)

C) (3x + 4)(x – 21)

D) 3(x + 4)(x2 – 7x)

23. If a ball is thrown vertically upward from ground level with an initial velocity of 64 ft/s.  After t s, the height h, in feet, is given by

h = –16t² + 64t

When does the ball hit the ground?

A) 4 seconds

B) 4.5 seconds

C) 5 seconds

D) 64 seconds

24. Factor completely, if possible.

32x² – 28x – 4

A) (4x – 1)(8x + 1)

B) 4(8x – 1)(x + 1)

C) 4(x – 1)(8x + 1)

D) Not factorable