ALGEBRA - Jamb Mathematics Past Questions and Answers

Question 591:

• JAMB 2021

factorize m\(^3\) - m\(^2\) + 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)

Question 592:

• JAMB 2021

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

Question 593:

• JAMB 2021

If the binary \(\ast\) is defined by m \(\ast\) 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

Question 594:

• JAMB 2021

Factorize completely 81a\(^4\) - 16b\(^4\)

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)

Question 595:

• JAMB 2021

If w varies inversely as \(\frac{uv}{u + v}\) and w = 8 when

u = 2 and v = 6, find a relationship between u, v, w.

A. Uvw = 16(u + v)
B. 16uv = 3w(u + v)
C. Uvw = 12(u + v)
D. 12uvw = u + v