If (x + 2) and (x – 1) are factors of the expression Lx +2kx²+24, find the values of L and k.

A. l = -12, k = -6

B. l = -2 , k = 1

C. l = -2 , k = -1

D. l = 0, k = 1

A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain. 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only while 3 sell all the three items. How many women are in the group?

A. 25

B. 19

C. 18

D. 17

X is due east point of y on a coast. Z is another point on the coast but 6.0km due south of Y. If the distance ZX is 12km, calculate the bearing of Z from X

A. 240°

B. 150°

C. 60°

D. 270°

List all integers satisfying the inequality in -2 < 2x-6 < 4

A. 2,3,4 and 5

B. 2,3

C. 2,5

D. 3,4

Factorize completely 81a⁴ – 16b⁴

A. (3a + 2b)(2a – 3b)(9a² + 4b2)

B. (3a – 2b)(2a – 3b)(4a² – 9b2)

C. (3a – 2b)(3a + 2b)(9a² + 4b2)

D. (6a – 2b)(8a – 3b)(4a³ – 9b2)

If the binary operation ∗ is defined by m ∗ n = mn + m + n for any real number m and n, find the identity of the elements under this operation

A. e = 1

B. e = -1

C. e = -2

D. e = 0

What is the n-th term of the sequence 2, 6, 12, 20…?

A. 4n – 2

B. 2{3^(n – 1)}

C. n² + n

D. n² + 3n + 2

The angles of a quadrilateral are 5x-30, 4x+60, 60-x and 3x+61.find the smallest of these angles

A. 5x – 30

B. 4x + 60

C. 60 – x

D. 3x + 61

factorize m³ – m² + 2m – 2

A. (m² + 1)(m – 2)

B. (m – 1)(m + 1)(m + 2)

C. (m – 2)(m + 1)(m – 1)

D. (m² + 2)(m – 1)

If g(x) = x² + 3x find g(x + 1) – g(x)

A. (x + 2)

B. 2(x + 2)

C. (2x + 1)

D. (x² + 4)