If f(x) = 4x\(^3\) + px\(^2\) + 7x – 23 is divided by (2x -5), the remainder is 7. find the value of p
- A. -7.0
- B. -8.0
- C. -9.6
- D. 9
If α and β are the roots of 3x\(^2\) – 7x + 6 = 0, find \(\frac{1}{α}\) + \(\frac{1}{β}\)
- A. \(\frac{7}{6}\)
- B. \(\frac{7}{3}\)
- C. \(\frac{14}{5}\)
- D. \(\frac{14}{3}\)
In how many ways can 8 persons be seated on a bench if only three seats are available?
- A. 100
- B. 125
- C. 336
- D. 427
Using binomial expansion of ( 1 + x)\(^6\) = 1 + 6x + 15x\(^2\) + 20x\(^3\) + 6x\(^5\) + x)\(^6\), find, correct to three decimal places, the value of (1.998))\(^6\)
- A. 63.616
- B. 63.167
- C. 62.628
- D. 62.629
g(x) = 2x + 3 and f(x) = 3x\(^2\) – 2x + 4
find f {g (-3)}.
- A. 37
- B. 1
- C. -3
- D. -179
Solve (\(\frac{1}{9}\))\(^{x + 2}\) = 243\(^{x – 2}\)
- A. \(\frac{7}{5}\)
- B. \(\frac{6}{7}\)
- C. \(\frac{-7}{6}\)
- D. \(\frac{-6}{7}\)
Simplify \(\frac{1}{3}\) log8 + \(\frac{1}{3}\) log 64 – 2 log6
- A. log \(\frac{2}{7}\)
- B. log 2
- C. log \(\frac{2}{9}\)
- D. log 9
Given that M = \(\begin{pmatrix} 3 & 2 \\ -1 & 4 \end{pmatrix}\) and N = \(\begin{pmatrix} 5 & 6 \\ -2 & -3 \end{pmatrix}\), calculate (3M – 2N)
- A. \(\begin{pmatrix} 1 & 6 \\ 1 & 18 \end{pmatrix}\)
- B. \(\begin{pmatrix} -1 & -6 \\ 1 & 18 \end{pmatrix}\)
- C. \(\begin{pmatrix} 1 & 6 \\ -1 & -18 \end{pmatrix}\)
- D. \(\begin{pmatrix} -1 & -6 \\ -1 & -18 \end{pmatrix}\)
For what range of values of x is x\(^2\) – 2x – 3 ≤ 0
- A. {x: -1 ≤ x ≤ 3}
- B. { x: -3 ≤ x ≤ 1}
- C. { x: -3 ≤ x ≤ -1}
- D. { x: 1 ≤ x ≤ 3}
Simplify ( \(\frac{1}{2 – √3}\) + \(\frac{2}{2 + √3}\) )\(^{-1}\)
- A. \(\frac{-1}{33}\)(6 + √3)
- B. \(\frac{-1}{33}\)(6 - √3)
- C. \(\frac{1}{33}\)(6 + √3)
- D. \(\frac{1}{33}\)(6 - √3)