Polynomials Jamb Mathematics Past Questions
Question 61
If x\(^3\)- 12x - 16 = 0 has x = -2 as a solution, then the equation has
- A. x = -4 as a solution also
- B. 3 roots all different
- C. 3 roots with two equal and the third different
- D. 3 roots all equal
- E. only one root
Question 62
A father is now three times as old as his son. Twelve years ago he was six times as old as his son. How old are the son and the father?
- A. 20 and 45
- B. 100 and 150
- C. 45 and 65
- D. 35 and 75
- E. 20 and 60
Question 63
If x\(^2\) + 4 = 0, then x ?
- A. 4
- B. -4
- C. 2
- D. -2
- E. None of the above
Question 64
Given that \(a*b = ab + a + b\) and that \(a ♦ b = a + b = 1\). Find an expression (not involving * or ♦) for (a*b) ♦ (a*c) if a, b, c, are real numbers and the operations on the right are ordinary addition and multiplication of numbers
- A. ac + ab + bc + b + c + 1
- B. ac + ab + a + c + 2
- C. ab + ac + a + b + 1
- D. ac + bc + ab + b + c + 2
- E. ab + ac + 2a + b + c + 1
Question 65
If x\(^4\)- 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
