Question : Divide using long division. 1) (x^2 - 3x - 40) ÷ (x + 5) : 2153833

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

Divide using long division.

1) (x² - 3x - 40) ÷ (x + 5)

A) x² - 8

B) x - 8

C) x² - 3

D) x - 3

2) (3x² + 2x - 16) ÷ (x - 2)

A) 3x - 8

B) 3x + 8

C) x + 2

D) 3x² - 2

3) (-14x² - 59x - 35) ÷ (2x + 7)

A) -7x - 5

B) x - 5

C) -14x - 5

D) -5x + 1

4) (9m³ + 72m² - 74m + 63/m + 9)

A) m² + 9m + 9

B) m² + 10m + 11

C) 9m² + 9m + 7

D) 9m² - 9m + 7

5) (7r³ - 33r² - 5r - 25/r - 5)

A) 7r² - 2r - 5

B) 7r² + 2r + (5/r - 5)

C) r² + 5r + 2

D) 7r² + 2r + 5

6) (6x³ + 13x² + 14x + 12) ÷ (2x + 3)

A) x² - 2x - 4

B) 3x² + 2x + 4

C) x² + 2x + 4

D) 3x² + 4

7) (3x³ - 4x - 1/x + 1)

A) 3x² - 3x - 1

B) 3x² + 3x - 1

C) 3x² - 7x + (6/x + 1)

D) 3x² + 7x + (6/x + 1)

8) (15x³ - 3) ÷ (5x - 1)

A) 3x² + (3/5)x + (3/25) + (72/25(5x - 1))

B) 3x² + (3/5)x + (3/25)

C) 3x² + (3/5)x + (3/25) - (72/25(5x - 1))

D) 3x² - (3/5)x + (3/25)

9) (-10x³ - 5x² + 7x + 8/2x + 3)

A) -5x² + 5x - 4

B) -5x² + 5x - 4 + (20/2x + 3)

C) x² - 4 + (5/2x + 3)

D) -5x² + 5x - 4 + (23/2x + 3)

10) (x⁴ + 81/x - 3)

A) x³ + 3x² + 9x + 27

B) x³ - 3x² + 9x - 27 + (162/x - 3)

C) x³ + 3x² + 9x + 27 + (81/x - 3)

D) x³ + 3x² + 9x + 27 + (162/x - 3)

11) (5x⁴ - 7x² + 35x³ - 49x) ÷ (5x + 35)

A) x³ + (7/5)x

B) x³ - 35x + (25x/5x + 35)

C) x³ - (7/5)x - (98x/5x + 35)

D) x³ - (7/5)x

12) (8f⁴ + 12f³ - 2f/2f² + f)

A) 4f² + 4f - (6f/2f² + f)

B) 4f² + 4f - 2

C) 4f² + 6f - (2f/2f² + f)

D) 4f² + 8f + 4 + (2f/2f² + f)

13) (18x³ + x² - 126x - 7) ÷ (9x² - 63)

A) 2x + 9

B) 2x + (7/9x² - 63)

C) 2x + (-7/9x² - 63)

D) 2x + (1/9)

14) (-5x⁴ + 11x³ + 37x² - 11x + 28) ÷ (4 - x)

A) 5x³ + 9x² - x - 7

B) 5x³ + 9x² + x - 7

C) 5x³ + 9x² - x + 7

D) 5x³ + 9x² - x - 7 + (56/4 - x)

15) (-2x⁵ - x³ - 4x² + 59x + 20) ÷ (x² - 5)

A) -2x³ - 11x + 4 + (4x/x² - 5)

B) -2x³ - 11x - 4 + (4x + 40/x² - 5)

C) -2x³ - 11x - 4 - (4x/x² - 5)

D) -2x³ - 11x - 4 + (4x/x² - 5)

16) ( x⁴ + 4x³ - 3x² - 8x + 15/x² + 3x - 5)

A) x² + 6x + 10

B) x² + x - 1

C) x² + x - 1 + (10/x² + 3x - 5)

D) x² + 6x + 10 + (-5x - 55/x² + 3x - 5)

17) (-4t⁴ - 2t³ - 4t² - 80t - 30/2t² + 6t + 2)

A) -2t² + 6t - 15

B) -2t² - 5t - 15

C) -2t² + 5t + 15

D) -2t² + 5t - 15

Solve the problem.

18) A rectangle with width 2x + 1 inches has an area of 2x⁴ + 5x³ - 20x² - 35x - 12 square inches. Write a polynomial that represents its length.

A) x³ + 7x² - 10x - 12 inches

B) x³ + 2x² - 11x - 12 inches

C) x³ - 11x² + 2x - 12 inches

D) x³ - 10x² + 7x - 12 inches

19) The width of a rectangle is x - (1/2) feet and its area is 6x³ + 5x² + 10x - 7 square feet. Write a polynomial that represents the length of the rectangle.

A) 6x² + 2x + 9 ft

B) 6x² + 8x + 14 ft

C) 6x² + 8x - 14 ft

D) 6x² - 8x + 14 ft

20) Two people are 44 years old and 27 years old, respectively. In x years from now, their ages can be represented by x + 44 and x + 27. Use long division to find the ratio of the older person's age to the younger person's age in x years.

A) 1 + (71/x + 44)

B) 1.6296

C) 1 + (17/x + 27)

D) 1 + (71/x + 27)