Divide (1 4 x^2-1 2 x-12 ) by (1 2 x-4 ) - Vidyadip

Question

Divide $\Big(\frac{1}{4}\text{x}^2-\frac{1}{2}\text{x}-12\Big)$ by $\Big(\frac{1}{2}\text{x}-4\Big)$

✓

Answer

$\frac{\frac{1}{4}\text{x}^2-\frac{1}{2}\text{x}-12}{\frac{1}{2}\text{x}-4}$
$=\frac{\frac{1}{2}\text{x}\Big(\frac{1}{2}\text{x}-4\Big)+3}{\frac{1}{2}\text{x}-4}$
$=\frac{\Big(\frac{1}{2}\text{x}+3\Big)\Big(\frac{1}{2}\text{x}-4\Big)}{\frac{1}{2}\text{x}-4}=\Big(\frac{1}{2}\text{x}+3\Big)$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Mark Question" from Division of Algebraic Expressions→Division of Algebraic Expressions — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

Two angles of a quadrilateral measure 85° and 75° respectively. The other two angles are equal. Find the measure of each of these equal angles.

Find the cube roots of the following integers:
$-733571$

A solid rectangular piece of iron measures $1.05 m \times 70 cm \times 1.5 cm$. Find the weight of this piece in kilograms if $1 cm^3$ of iron weighs 8 grams.

Simplify:
$\frac{5}{26}+\frac{11}{-39}$

If the selling price of a TV set is equal to $\frac{6}{5}$ of its cost price, find the gain percent.

Making use of the cube root table, find the cube root 7800

Show the following numbers on a number line. Draw a separate number line for each example.

$\frac{7}{5}, \frac{-2}{5}, \frac{-4}{5}$

Simplify following:
$\big(\frac{1}{3}\text{y}^2−\frac{4}{7}\text{y}+11\big)−(\frac{1}{7}\text{y}−3+2\text{y}^2\big)−\\\big(\frac{2}{7}\text{y}−\frac{2}{3}\text{y}^2+2\big)$

Find the cost of $3\frac{2}{5}$ metres of cloth at $\text{Rs.}\ 63\frac{3}{4}$ per metre.

A machine is purchased for Rs. 625000. Its value depreciates at the rate of 8% per annum. What will be its value after 2 years?