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Question 1
The polynomial $P(x) = 2x^3 + ax^2 + bx - 6$ has $(x - 1)$ as a factor. When $P(x)$ is divided by $(x + 2)$, the remainder is $-36$. Find the value of $a + 2b$.
Correct Answer:
9
Question 2
Express the rational expression $\frac{7x - 1}{(x - 1)(x + 2)}$ in partial fractions.
Correct Answer:
\frac{2}{x - 1} + \frac{5}{x + 2}
Question 3
When $\frac{3x^2 + 4}{(x - 1)^2(x + 2)}$ is expressed in the partial fraction form $\frac{A}{x - 1} + \frac{B}{(x - 1)^2} + \frac{C}{x + 2}$, what is the value of the coefficient $B$?
Correct Answer:
\frac{7}{3}
Question 4
Given that $\log_a b = 3$ and $\log_a c = 5$, find the value of $\log_a\!\left(\dfrac{a^2 b}{\sqrt{c}}\right)$.
Correct Answer:
$$\dfrac{5}{2}$
Question 5
Find the complete real solution set of the exponential equation $3^{2x+1} - 10(3^x) + 3 = 0$.
Correct Answer:
\{-1, 1\}
Question 1
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Prepare with the Cameroon GCE A-Level Pure Math with Mechanics Practice Questions - Cameroon GCE Advanced Level Pure Mathematics with Mechanics (Subject Code 0765) Exam practice quiz. This question bank includes 100 questions covering mathbf, find, frac, theta, and value. Use it to review important concepts, identify knowledge gaps, and build confidence for the related exam, course, or assessment.

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Cameroon GCE A-Level Pure Math with Mechanics Practice Questions - Cameroon GCE Advanced Level Pure Mathematics with Mechanics (Subject Code 0765) Exam

This practice set contains 100 questions from the matching question bank and focuses on mathbf, find, frac, theta, and value. Work through each question carefully, review the provided solutions, and revisit topics that need more study before your next attempt.

This is an independent study resource intended for practice and review; it is not an official examination or an endorsement by any organization named in the title.

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