Divide: X2 + 3x − 54 by X − 6

Divide: x² + 3x − 54 by x − 6

Sum

`"x"-6) overline("x"^2+3"x"-54)("x"+9`
`"x"^2 - 6"x"`
− +
9x − 54
+ 9x − 54
− +
×

∴ x + 9

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Chapter 11: Algebraic Expressions - Exercise 11 (D) [Page 145]

Chapter 11 Algebraic Expressions
Exercise 11 (D) | Q 1.1 | Page 145

Work out the following division:

(10x − 25) ÷ 5

Work out the following division:

10y(6y + 21) ÷ 5(2y + 7)

Divide as directed.

26xy(x + 5) (y − 4) ÷ 13x(y − 4)

Find the greatest common factor (GCF/HCF) of the following polynomial:
6x²y², 9xy³, 3x³y²

Find the greatest common factor (GCF/HCF) of the following polynomial:
a²b³, a³b²

Divide: a² + 7a + 12 by a + 4

Divide: 4a² + 12ab + 9b² − 25c² by 2a + 3b + 5c

Find the quotient and the remainder when :
a³− 5a² + 8a + 15 is divided by a + 1. verify your answer.

The area of a rectangle is x³ – 8x + 7 and one of its sides is x – 1. Find the length of the adjacent side.