Mathematics Practice Test – Polynomials (Questions with Answers & Explanations)

When f(x) = 2x³ + mx² + nx + 11 is divided by x² + 5x + 1, the quotient is 2x – 5 and the remainder is 30x + 16. Find the values of m and n. (WASSCE 2016 FM)

A. 7, -5    B. 5, 7   C. -5, 7    D. 5, -7

The polynomial f(x) = x³ + 24x² – 10x - 3 is exactly divisible by (x² + x – 6). Find the third factor. (WASSCE 2012)

A. x – 4    B. x – 3    C. x + 2    D. x + 4

If (x – 3) is a factor of 2x³ + 3x² – 17x – 30, find the remaining factors. (WASSCE 2006 FM)

A. (2x – 5)(x – 2)
B. (2x -5)(x + 2)
C. (2x + 5)(x – 2)
D. (2x + 5)(x + 2)

If (x + 1) is a factor of 6x⁴ + 12x³ – 13x² - 19x + 14, find the remainder. (WASSCE 2006 FM)

A. – 14    B. 19   C. -19   D. 14

If (x + 3) is a factor of the polynomial x³ + 3x² + nx – 12, where n is a constant, find the value of n. (WASSCE 2009 FM)

A. -1   B. -2   C. -3    D. -4