Further Mathematics Past QuestionsQuestion 776: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 Question 777:For what value of k is 4x\(^2\) - 12x + k, a perfect square? A. -9 B. \(\frac{-9}{4}\) C. \(\frac{9}{4}\) D. 9 Question 778:A binary operation * is defined on the set of real numbers, R, by P * q = \(\frac{q^2 - p^2}{2pq}\). Find 3 * 2 A. \(\frac{13}{12}\) B. \(\frac{5}{12}\) C. -\(\frac{5}{12}\) D. \(\frac{-1}{2}\) Question 779:Find the inverse of \(\begin{pmatrix} 4 & 2 \\ -3 & -2 \end{pmatrix}\) A. \(\begin{pmatrix} 1 & 1 \\ -1.5 & -2 \end{pmatrix}\) B. \(\begin{pmatrix} 1 & -1 \\ 1.5 & -2 \end{pmatrix}\) C. \(\begin{pmatrix} -2 & 1 \\ 1.5 & 1 \end{pmatrix}\) D. \(\begin{pmatrix} -2 & -1 \\ 1.5 & 1 \end{pmatrix}\) Question 780:Given that P = { x: 0 ≤ x ≤ 36, x is a factor of 36 divisible by 3} and Q = { x: 0 ≤ x ≤ 36, x is an even number and a perfect square}, find P n Q. A. {1,4,9,36} B. {3,9.36} C. {9,36} D. {36} |
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