Processing math: 100%

Home / Aptitude Tests / Mathematics / Express in partial f...

Express in partial fractions \(\frac{11x + 2}{6x^2 - x - 1}\...

Express in partial fractions $\frac{11x + 2}{6x^2 - x - 1}$

A.

$\frac{1}{3x - 1}$ + $\frac{3}{2x + 1}$

B.

$\frac{3}{3x + 1}$ - $\frac{1}{2x - 1}$

C.

$\frac{3}{3x + 1}$ - $\frac{1}{2x - 1}$

D.

$\frac{1}{3x + 1}$ + $\frac{3}{2x - 1}$

View answer & explanation

Correct answer is D

$\frac{11x + 2}{6x^2 - x - 1}$ = $\frac{11x + 2}{(3x + 1)(2x - 1)}$

= $\frac{A}{3x + 1}$ + $\frac{B}{2x - 1}$

11x + 2 = A(2x - 1) + B(3x + 1)

put x = $\frac{1}{2}$

$\frac{15}{2} = \frac{5}{2}B$

B = 3.

put x = $-\frac{1}{3}$

$-\frac{5}{3} = \frac{-5}{3}$ A $\implies$ A = 1

∴ $\frac{11x +2}{6x^2 - x - 1}$ = $\frac{1}{3x + 1}$ + $\frac{3}{2x - 1}$

See all Mathematics questions & answers

See more JAMB questions & answers

Similar Questions

A pyramid of volume 120cm3 has a rectangular base which measures 5cm by 6cm. Calculate the height of...

Find the derivative of $y = \sin^{2} (5x)$ with respect to x. ...

If $4\sin^2 x - 3 = 0$ , find the value of x, when 0° $\leq$ x $\leq$ 90°...

Evaluate; $\frac{\log_3 9 - \log_2 8}{\log_3 9}$ ...

Solve the simultaneous equations 2x - 3y = -10, 10x - 6y = -5...

Calculate the mean deviation of the set of numbers 7, 3, 14, 9, 7, and 8. ...

In the diagram, 0 is the centre of the circle. Find the value x ...

In $\bigtriangleup$ XYZ, XY = 3cm, XZ = 5cm and YZ = 7cm. If the bisector of XYZ meets XZ at W, wha...

The acres for rice, pineapple, cassava, cocoa, and palm oil in a certain district are given respecti...

The shaded portion in the venn diagram above represents? ...

Aptitude Tests

Verbal Reasoning Questions and Answers

Abstract Reasoning Questions and Answers

Data Interpretation Questions and Answers

Spatial Reasoning Questions and Answers

Situational Judgement Questions and Answers

Typing Speed and Accuracy Test

Puzzles Questions and Answers

Personality Test

Quantitative Reasoning Questions and Answers

Nigeria General Knowledge Questions and Answers

Microsoft Office Questions and Answers

Numerical Reasoning Questions and Answers

Logical Reasoning Questions and Answers

View latest jobs in Nigeria today