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:

96abc(3a − 12)(5b − 30) ÷ 144(a − 4) (b − 6)

Divide as directed.

x(x + 1) (x + 2) (x + 3) ÷ x(x + 1)

Find the greatest common factor (GCF/HCF) of the following polynomial:
6x³y and 18x²y³

Find the greatest common factor (GCF/HCF) of the following polynomial:
42x²yz and 63x³y²z³

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

Divide: x⁶ − 8 by x² − 2

Divide: 16 + 8x + x⁶ − 8x³ − 2x⁴ + x² by x + 4 − x³

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

The product of two numbers-is 16x⁴ – 1. If one number is 2x – 1, find the other.

Divide x⁶ – y⁶ by the product of x² + xy + y² and x – y.