Divide: X6 − 8 by X2 − 2

Divide: x⁶ − 8 by x² − 2

Sum

`"x"^2-2) overline("x"6 -8 )("x"^4+2"x"^2+4`
`"x"^6 -2"x"^4`
− +
2x⁴ − 8
2x⁴ − 4x²
− +
4x² − 8
4x² − 8
− +
×

∴ x⁴ + 2x² + 4

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

Chapter 11 Algebraic Expressions
Exercise 11 (D) | Q 1.12 | Page 145

Divide as directed.

5(2x + 1) (3x + 5) ÷ (2x + 1)

Factorise the expression and divide them as directed.

(y² + 7y + 10) ÷ (y + 5)

Factorise the expression and divide them as directed.

(m² − 14m − 32) ÷ (m + 2)

Find the greatest common factor (GCF/HCF) of the following polynomial:
2x² and 12x²

Find the greatest common factor (GCF/HCF) of the following polynomial:
12ax², 6a²x³ and 2a³x⁵

Find the greatest common factor (GCF/HCF) of the following polynomial:
x³, − yx²

Find the greatest common factor (GCF/HCF) of the following polynomial:
15a³, − 45a², − 150a

Divide: x² + 3x − 54 by x − 6

Find the quotient and the remainder when 3x⁴ + 6x³ − 6x² + 2x − 7 is divided by x − 3. in case, verify your answer.

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