Factor and remainder theorems - Jamb Mathematics Past Questions and Answers

Question 6:

• JAMB 1978

The quantity (x + y) is a factor of

A. X² + y²
B. X³ - y³
C. 2x² - 3xy + y² - x + 1
D. 2x³ + 2x²y - xy + 3x - y² + 3y
E. X⁵ - y⁵

Question 7:

• JAMB 1978

If x⁴ - kx³ + 10x² + 1x - 3 is divisible by (x - 1), and if when it is divided by (x + 2) the remainder is 27, find the constants k and 1

A. K = -7, 1 = -15
B. K = -15, 1 = -7
C. K = \(\frac{15}{3}\) , 1 = -7
D. K = \(\frac{7}{3}\) , 1 = -17

Question 8:

• JAMB 1980

The expression x3 - 4x2 + cx + d is such that x + 1 is its factor, and its value is 1 when x is -2. Find c and d.

A. C = 4 and d = -9
B. C = -4 and d = 9
C. C = -20 and d = -15
D. C = 20 and d = -15
E. C = -20 and d = 15

Question 9:

• JAMB 1980

If a function is defined by f(x + 1) = 3x2 - x + 4, Find f(0).

A. 4
B. 6
C. 9
D. 8
E. 2

Question 10:

• JAMB 1985

If f(x - 2) = 4x² + x + 7, find f(1)

A. 12
B. 27
C. 7
D. 46
E. 17