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)