Advertisements
Advertisements
Question
Divide: m3 − 4m2 + m + 6 by m2 − m − 2
Advertisements
Solution
m3 − 4m2 + m + 6 by m2 − m - 2
`"m"^2 − "m" - 2)overline ("m"^3 − 4"m"^2 + "m" + 6)("m" − 3`
m3 − m2 − 2m
− + +
−3m2 + 3m + 6
−3m2 + 3m + 6
+ − −
xxx
= m − 3
APPEARS IN
RELATED QUESTIONS
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
One-half of the sum of numbers x and y.
Factorize x4 + x2 y2 + y4
Factorize the following expressions:
( x + 2)3 + ( x - 2)3
If \[x^2 + \frac{1}{x^2} = 18,\] find the values of \[x + \frac{1}{x} \text { and } x - \frac{1}{x} .\]
The factors of x3 −x2y − xy2 + y3 are
The area of a rectangular field is 25x2 + 20xy + 3y2 square unit. If its length is 5x + 3y unit, find its breadth, Hence find its perimeter.
Write the coefficient of x2 and x in the following polynomials
πx2 – x + 2
An algebraic statement which is equivalent to the verbal statement “Three times the sum of ‘x’ and ‘y’ is
The figure shows the dimensions of a wall having a window and a door of a room. Write an algebraic expression for the area of the wall to be painted.

Match Column I with Column II in the following:
| Column I | Column II |
| 1. The difference of 3 and a number squared | (a) 4 – 2x |
| 2. 5 less than twice a number squared | (b) n2 – 3 |
| 3. Five minus twice the square of a number | (c) 2n2 – 5 |
| 4. Four minus a number multiplied by 2 | (d) 5 – 2n2 |
| 5. Seven times the sum of a number and 1 | (e) 3 – n2 |
| 6. A number squared plus 6 | (f) 2(n + 6) |
| 7. 2 times the sum of a number and 6 | (g) 7(n + 1) |
| 8. Three less than the square of a number | (h) n2 + 6 |
