Polynomials - Jamb Mathematics Past Questions and Answers

Question 91:

• JAMB 1983

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)

Question 92:

• JAMB 1984

If 2x + 3y = 1 and x - 2y = 11, find (x + y)

A. 5
B. -3
C. 8
D. 2
E. -2

Question 93:

• JAMB 1984

Find a factor which is common to all three binomial expressions 4a2 - 9b2, 8a3 + 27b3, (4a + 6b)2

A. 4a + 6b
B. 4a - 6b
C. 2a + 3b
D. 2a - 3b
E. None

Question 94:

• 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 95:

• 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. \(\frac{3x^2 - 1}{(x - 1)}\)