Divide: x3 − 6x2 + 11x − 6 by x2 − 4x + 3

Divide: x³ − 6x² + 11x − 6 by x² − 4x + 3

Sum

x³ − 6x² + 11x − 6 by x² − 4x + 3

`"x"^2 − "4x" + 3)overline ("x"^3 - 6"x"^2 + 11"x" - 6)("x" - 2`
x² − 4x² + 3x
− + −
−2x² + 8x − 6
−2x² + 8x − 6
+ − +
xxx

= x − 2

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Chapter 13: Fundamental Concepts (Including Fundamental Operations) - Exercise 11 (D)

Chapter 13 Fundamental Concepts (Including Fundamental Operations)
Exercise 11 (D) | Q 5.8

Factorize 4( x - y)² -12( x - y)( x + y ) + 9(x + y )²

Factorize the following expressions:

( x + 2)³ + ( x - 2)³

Find the value of the following expression: 16x² + 24x + 9, when \[x = \frac{7}{4}\]

Simplify : \[\frac{1 . 2 \times 1 . 2 \times 1 . 2 - 0 . 2 \times 0 . 2 \times 0 . 2}{1 . 2 \times 1 . 2 + 1 . 2 \times 0 . 2 + 0 . 2 \times 0 . 2}\]

Write the value of \[\left( \frac{1}{2} \right)^3 + \left( \frac{1}{3} \right)^3 - \left( \frac{5}{6} \right)^3 .\]

The value of \[\frac{(2 . 3 )^3 - 0 . 027}{(2 . 3 )^2 + 0 . 69 + 0 . 09}\]

Divide: 9a⁴b - 15a³b² + 12a²b³ by - 3a²b

Write the coefficient of x² and x in the following polynomials

`x^2 - 7/2 x + 8`

In a polynomial, the exponents of the variables are always ______.

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.