Divide: m3 − 4m2 + m + 6 by m2 − m − 2

Divide: m³ − 4m² + m + 6 by m² − m − 2

योग

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

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अध्याय 11: Fundamental Concepts (Including Fundamental Operations) - Exercise 11 (D)

अध्याय 11 Fundamental Concepts (Including Fundamental Operations)
Exercise 11 (D) | Q 5.9

Factorize (x + 2)(x² + 25) -10x² - 20x

Factorize `x^2 - 2sqrt2x - 30`

Given possible expressions for the length and breadth of the rectangle having 35y² + 13y – 12 as its area.

`(x/2 + y + z/3)^3 + (x/2 + (2y)/3 + z)^3 + (-(5x)/6 - y/3 - (4z)/3)^3`

If a² + b² + c² = 20 and a + b + c = 0, find ab + bc + ca.

Evaluate: (4m - 2)(m² + 5m - 6)

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.

Express the following as an algebraic expression:

Sum of p and 2r – s minus sum of a and 3n + 4x.

Write the coefficient of x² and x in the following polynomials

`sqrt(3)x^2 + sqrt(2)x + 0.5`

In the formula, area of circle = πr², the numerical constant of the expression πr² is ______.