Divide : (6 x^5-28 x^3+3 x^2+30 x-9 ) by (2 x^2-6 ) - Vidyadip

Question

Divide : $\left(6 x^5-28 x^3+3 x^2+30 x-9\right)$ by $\left(2 x^2-6\right)$

✓

Answer

$3 x^3-5 x+\frac{3}{2}$

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 "[4 marks sum]" from Fundamental Concepts & Operations on Algebraic Expressions→Fundamental Concepts & Operations on Algebraic Expressions — all question types→MATHS STD 8 question papers→ICSE Board STD 8 question papers→ICSE Board question paper generator→

Similar questions

Find the quotient and the remainder when : $6x^2 + x − 15$ is divided by $3x +5$. verify your answer.

The sum of the radius and the height of a cylinder is $37\ cm$ and the total surface area of the cylinder is $1628 \ cm^2$. Find the height and the volume of the cylinder.

In an election between two candidates, one candidate secured $47\%$ of votes polled and lost the election by $12, 366$ votes. Find the total votes polled and die votes secured by the winning candidate.

The following table shows the market position of different brands of tea$-$leaves.

Brand	$A$	$B$	$C$	$D$	others
$\%$ of Buyers	$35$	$20$	$20$	$15$	$10$

Draw it pie$-$chart to represent the above information.

Find the smallest number by which $26244$ may be divided so that the quotient is a perfect cube.

In square $PQRS$ : $(i)$ if $PQ = 3x – 7$ and $QR = x + 3$ ; find $PS\ (ii)\ $ if $PR = 5x$ and $QR = 9x – 8$. Find $QS$

Following is the frequency distribution of marks obtained by 50 students of a class:

Marks obtained	Number of students
0-10	2
10-20	3
20-30	14
30-40	10
40-50	6
50-60	5
60-70	8
70-80	2

Draw a histogram to represent the above data.

A fort had provisions for $450$ soldiers for $40$ days. After $10$ days, $90$ more soldiers come to the fort. Find in how many days will the remaining provisions last at the same rate?

Evaluate : $(3x + 4y) (3x − 4y) (9x^2 + 16y^2)$

State, if the following pair of a set is equal or not : $M = \{x : x \in W$ and $x + 3 < 8\}$ and $N = \{y : y = 2n -1, n \in N$ and $n < 5\}$