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Scott, MIT Graduate

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Experience: MIT Graduate (Math, Programming, Science, and Music)

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Math Questions

Customer Question

l. Which of the following is the greatest common factor of the terms 48s5t3u2 and 40s3tu4?

A. 6s2t2u C. 6s3tu

B. 8s2t2u D. 8s3tu2

2. What is the greatest common factor of the terms 14c2d and 42c3d?

A. 2c2d C. 14c2d

B. 3c D. 7c2d

3. Which of the following are the factors of x3 + 3x2?

A. x2(x2 + 3) C. x2(x + 3)

B. x(x2 + 3x) D. x2(x ¨C 3)

4. Which of the following are the factors of 4b2 ¨C 16?

A. (2b + 4)(2b + 4) C. (2b ¨C 2)(2b + 4)

B. 2(b ¨C 4)(b + 4) D. 4(b ¨C 2)(b + 2)

5. Which of the following are the factors of m2 ¨C 14m + 48?

A. (m ¨C 6)(m ¨C 8) C. (m ¨C 12)(m + 4)

B. (m ¨C 12)(m ¨C 4) D. (m + 6)(m + 8)

6. Which of the following are the factors of q3 ¨C q2 + 2q _ 2?

A. (q2 ¨C 1)(q + 2) C. (q ¨C 1)(2 ¨C q)

B. (q ¨C 1)(q2 + 2) D. (q ¨C 1)(2 ¨C q2)

7. Which of the following are the factors of t4 ¨C 81?

A. (t2 ¨C 9)(t2 ¨C 9) C. (t ¨C 3)(t + 3)2

B. (t ¨C 3)2(t + 3)2 D. (t ¨C 3)(t + 3)(t2 + 9)

8. Which of the following is one of the two binomial factors of 6s2 + 40s ¨C 64?

A. 6s ¨C 12 C. 3s ¨C 4

B. 2s ¨C 16 D. s + 10

9. Find the value or values of p in the quadratic equation p2 + 13p ¨C 30 = 0.

A. p = 10, p = 3 C. p = ¨C15, p = 2

B. p = 15, p = 2 D. p = ¨C10, p = ¨C3

10. Find the possible value or values of n in the quadratic equation 2n2 ¨C 7n + 6 =

A. n = 3/2, n = 2

B. n = 1, n = 3

C. n = -2,n = -3/2

D. n = 6, n = 0

11. Find the possible value or values of y in the quadratic equation 4 ¨C 4y ¨C y2 = 0.

A. y = 2 C. y = ¨C3, y = ¨C1

B. y = ¨C4, y = 1 D. y = ¨C2 + 2 ¡Ì2, y = ¨C2 ¨C 2 ¡Ì2

12. Find the possible value or values of r in the quadratic equation r2 ¨C 7r ¨C8.

A. r =17+ ¡Ì27/6, = 17-¡Ì277/6

B. r= 2/3, r = 5

C.r = ¨C10, r = 3

D.r = 8, r = -1

13. Find the possible value or values of z in the quadratic equation z2 ¨C 4z + 4 = 0.

A. z = 2 C. z = 10, z = 6

B. z = 2 ¡Ì2 + 2, z = ¨C2 ¡Ì2 + 2 D. z = ¡Ì2 + 2, z = ¨C ¡Ì2 + 2

14. What is the discriminant in the quadratic equation x2 + 11x + 121 = x + 96?

A. 100 C. 20

B. 0 D. 200

15. Use the discriminant to determine how many real number solutions the quadratic equation

¨C4j2 + 3j ¨C 28 = 0 has.

A. 0 C. 2

B. 1 D. 3

16. The width of a rectangle is 3 inches less than its length. The area of the rectangle is 340 square

inches. What are the length and width of the rectangle?

A. length = 20 inches, width = 17 inches C. length = 17 inches, width = 14 inches

B. length = 10 inches, width = 7 inches D. length = 34 inches, width = 10 inches

17. The hypotenuse of a right triangle is 26 feet long. One leg of the triangle is 14 feet longerthan the other leg. Find the lengths of the legs of the triangle.

A. leg = 10 feet, leg = 24 feet C. leg = 11 feet, leg = 25 feet

B. leg = 15 feet, leg = 29 feet D. leg = 5 feet, leg = 19 feet

18. The length of a rectangle is 2 meters more than its width. The area of the rectangle is 80 square meters. What is the length and width of the rectangle?

A. length = 10 meters, width = 8 meters C. length = 8 meters, width = 6 meters

B. length = 14 meters, width = 12 meters D. length = 20 meters, width = 4 meters

19. Find the value or values of x in the quadratic equation x2 = 6x ¨C 9.

A. x = ¨C3, x = 2 C. x = 3

B. x = 0, x = 1 D. x = 9

20. Find the value or values of y in the quadratic equation y2 + 4y + 4 = 7.

A. y = 2, y = 7 C. y = ¨C2 ¡Ì7, y = 2 ¡Ì7

B. y = 2 + 2 ¡Ì7, y = 2 ¨C 2 ¡Ì7 D. y = ¨C2 + ¡Ì7, y = ¨C2 ¨C ¡Ì7

Your notation is again unreadable in many cases (3, 4, 5, 6, 7, 9, 11, 12, 13, 15, 20) . I won't be answering this time, because I've had bad luck the last two times trying to helpyou, losing out to others and getting a lowered rating. Whoever does these for you will need a clearer set of questions.

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