Factor and remainder theorems - Jamb Mathematics Past Questions and Answers

Question 16:

• JAMB 1995

If x - 1 and x + 1 are both factors of the equation x\(^3\) + px\(^2\) + qx + 6 = 0, evaluate p and q

A. -6, -1
B. 6, 1
C. 1, -1
D. 6, -6

Question 17:

• JAMB 1995

Finds a positive value of p if the expression 2x² - px + p leaves a remainder 6 when divided by x - p and q

A. 1
B. 2
C. 3
D. 4

Question 18:

• JAMB 1995

Finds a positive value of p if the expression 2x² - px + p leaves a remainder 6 when divided by x - p and q

A. 1
B. 2
C. 3
D. 4

Question 19:

• JAMB 1997

If the function f(fx) = x³ + 2x² + qx - 6 is divisible by x + 1, find q

A. -5
B. -2
C. 2
D. 5

Question 20:

• JAMB 1998

When the expression pm² + qm + 1 is divided by (m - 1), it has a remainder is 4, Find p and q respectively

A. 2, -1
B. -1, 2
C. 3, -2
D. -2, 3