ALGEBRA - Jamb Mathematics Past Questions and Answers

Question 176:

• JAMB 1984

If (x - 2) and (x + 1) are factors of the expression x³ + px² + qx + 1, what is the sum of p and q

A. 9
B. -3
C. 3
D. \(\frac{17}{3}\)
E. \(\frac{2}{3}\)

Question 177:

• JAMB 1984

If a = \(\frac{2x}{1 - x}\) and b = \(\frac{1 + x}{1 - x}\), then a2 - b2 in the simplest form is

A. \(\frac{3x + 1}{x - 1}\)
B. \(\frac{3x^2 - 1}{(x - 1)}\)²
C. X\(\frac{3x - 2}{1 - x}\)
D. \(\frac{3x^2 - 1}{(x - 1)}\)

Question 178:

• JAMB 1984

If pq + 1 = q² and t = \(\frac{1}{p}\) - \(\frac{1}{pq}\) express t in terms of q

A. \(\frac{1}{p - q}\)
B. \(\frac{1}{q - 1}\)
C. \(\frac{1}{q + 1}\)
D. 1 + 0
E. \(\frac{1}{1 - q}\)

Question 179:

• JAMB 1984

The larger value of y for which (y - 1)² = 4y - 7 is

A. 2
B. 4
C. 6
D. 7
E. 8

Question 180:

• JAMB 1985

List all integers satisfying the inequality -2 \(\leq\) 2 x -6 < 4

A. 2, 3, 4, 5
B. 2, 3, 4
C. 2, 5
D. 3, 4, 5
E. 4, 5