Factor and remainder theorems - Jamb Mathematics Past Questions and Answers

Question 21:

• JAMB 2000

if (x - 1), (x + 1) and (x - 2) are factors of the polynomial ax³ + bx² + cx - 1, find a, b, c in that order.

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

Question 22:

• JAMB 2004

Find the remainder when 3x³ + 5x² - 11x + 4 is divided by x + 3

A. -4
B. 4
C. 1
D. -1

Question 23:

• JAMB 2006

Find the value of k if the expression kx³ + x² - 5x - 2 leaves a remainder 2 when it is divided by 2x + 1

A. 10
B. 8
C. -10
D. -8

Question 24:

• JAMB 2011

Find the remainder when X³ - 2X² + 3X - 3 is divided by X² + 1

A. 2X - 1
B. X + 3
C. 2X + 1
D. X - 3

Question 25:

• JAMB 2011

Factorize completely 9y² - 16X²

A. (3y - 2x)(3y + 4x)
B. (3y + 4x)(3y + 4x)
C. (3y + 2x)(3y - 4x)
D. (3y - 4x)(3y + 4x)