Division of Algebraic Expressions

IMPORTANT

Division of Algebraic Expressions: Overview

This topic explains how to divide algebraic expressions. The method of dividing one polynomial by another is very close to that of dividing one number by another. If the divisor is a dividend factor, a remainder equal to zero is obtained.

Important Questions on Division of Algebraic Expressions

EASY
IMPORTANT

Divide the given polynomial by the given monomial

8(x3y2z2+x2y3z2+x2y2z3)÷4x2y2z2

EASY
IMPORTANT

Divide the given polynomial by the given monomial

2a3b-6ab3÷ab

MEDIUM
IMPORTANT

If x2-5x+6 is divisible by x-2, then the quotient is

MEDIUM
IMPORTANT

Find Adirai's percentage of marks who scored 25m3n2p out of 100m2np

EASY
IMPORTANT

Divide:

10(4x-8y) by 5(x-2y)

EASY
IMPORTANT

Simplify

14p5q32p2q-12p3q43q3

HARD
IMPORTANT

42a4b5(_____)6a4b2=_____b3c2

HARD
IMPORTANT

l4m5n_____2lm_____n6=l3m2n2

EASY
IMPORTANT

If we divide 10x4-25x3-5x2 by 5x2, we get _____. A)2x2-5x-1, B)2x2+5x-1, C)2x2-5x+1

Write A, B or C in the blank.

MEDIUM
IMPORTANT

The distance travelled by an object is given by the algebraic expression (a2 - 13a + 36)km and its speed by (a -9) km/h. Find the time taken by the object to travel the given distance.

MEDIUM
IMPORTANT

Using long division, find the quotient and remainder when 3x3-5x2+6x-8 is divided by x-2.

MEDIUM
IMPORTANT

If the result of simplification of 63a3b2c5-7a2b2c2  is of the form kaxbycz, then write the value of k+x+y+z.

MEDIUM
IMPORTANT

The simplified value of x2+23x-210x+30 is x-k, then find the value of k.

HARD
IMPORTANT

The simplification of 9a2+6a+13a+1 is in the form of ma+n, then find the value of m+n.

MEDIUM
IMPORTANT

Perform the following division and give the remainder:

(3p2+6p+18)÷(p-6)

MEDIUM
IMPORTANT

Divide the following:

(-2)4x2z3y+24z2x4-4z4y4÷2z2

MEDIUM
IMPORTANT

5x books cost Question Image10x2+20x. If the cost of one book is ( Ax+B), then write the value of A+B.

MEDIUM
IMPORTANT

If we simplify the following we get Ka6b-Jd. Find the value of K+J

14a9b-8a3d2a3

EASY
IMPORTANT

If 34y3z2+51y5z3÷17y2z2=ay+bymzn, then find a+b+m+n.