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Factor completely.

Question : Factor completely. : 2150939

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

Factor completely.

23) 6x2 + 5x = 0

A) 0,(5/6)

B) - (5/6),0

C) (-5/6),(5/6)

D) (5/6),0

24) 17x2 - 5x = 0

A) (17/5), 0

B) (5/17), 0

C) - (5/17), 0

D) - (17/5), 0

25) 2x2 - 3x - 5 = 0

A) (2/5), 1

B) (2/5), 0

C) (5/2), -1

D) (2/5), -1

26) x2 + 5x = 0

A) 0

B) 5,0

C) -5,5

D) -5,0

27) 13x2 + 6x = 0

A) -6,0

B) 0

C) (-6/13), -6

D) (-6/13), 0

28) 14x2 + 16x = 0

A) - (8/7), 16

B) - (8/7), -16

C) - (8/7), 0

D) 0

29) 81x2 - 25 = 0

A) 5,0

B) - (5/9), (5/9)

C) - (6/9), (5/9)

D) (9/5), 0

Solve the equation using the quadratic formula.

30) 7x2 + 10x + 2 = 0

A) (-10 ± √(11)/7)

B) (-5 ± √(11)/7)

C) (-5 ± √(11)/14)

D) (-5 ± √(39)/7)

31) 3x2 = -8x - 3

A) (-4 ± √(1)/3)

B) (-8 ± √(7)/3)

C) (-4 ± √(7)/6)

D) (-4 ± √(7)/3)

32) 6x2 + 12x = - 4

A) (-12 ± √(3)/3)

B) (-3 ± √(3)/12)

C) (-3 ± √(3)/3)

D) (-3 ± √(15)/3)

33) x2 - x = 56

A) 1, 56

B) -7, -8

C) 7, 8

D) -7, 8

34) x2 + 3x - 88 = 0

A) 11, -8

B) -11, 8

C) 11, 8

D) -11, 1

35) 4x2 - 24x + 32 = 0

A) -2, -4

B) 2, 4

C) 0, 2, 4

D) 4, 2, 4

36) 6x2 + 23x + 20 = 0

A) (4/3), (5/2)

B) (4/3), - (5/2)

C) - (2/3), - (1/4)

D) - (4/3), - (5/2)

37) x2 - 3x + 11 = 0

A) (3 + √(47)/2) and (3 - √(47)/2)

B) No real solution

C) (-3 + √(53)/2) and (-3 - √(53)/2)

D) 3 + √(53) and 3 - √(53)

38) 3x2 + 5x + 7 = 0

A) (5 + √(109)/6) and (5 - √(109)/6)

B) No real solution

C) -5 + √(109) and -5 - 109

D) (-5 + √(109)/6) and (-5 - √(109)/6)

Solve the problem.

39) A rectangular garden has an area of 12 ft by 5 ft. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 138 ft2?

A) 4 ft

B) 10 ft

C) 3 ft

D) 5 ft

40) A picture 9 in. by 12 in. is to be mounted on a piece of matboard so that there is an even amount of mat all around the picture. How wide will the border be if the area of the mounted picture is 238 in.2?

A) 2 in.

B) 2.5 in.

C) 3 in.

D) 3.5 in.

41) Doris has a fish pond 15 ft by 18 ft. She wants to put grass in a strip of uniform width around the pond. She has enough grass seed for 234 ft2. How wide will the strip be?

A) 12 ft

B) 9 ft

C) 3 ft

D) 1.5 ft

42) A parking lot measures 100 ft by 150 ft. A sidewalk of uniform width is to completely surround the lot. If the sidewalk can cover 1016 ft2, how wide will the sidewalk be?

A) 2.5 ft

B) 3 ft

C) 2 ft

D) 1.5 ft

43) The weekly profit, p, of a floral shop can be approximated by the equation p = x2 + 30x - 110, where x represents the number of bouquets sold in a week. How many bouquets must be sold to maintain a weekly profit of $1265?

A) 25 bouquets

B) 20 bouquets

C) 35 bouquets

D) 250 bouquets

Solution
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