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

Work out the following division:

10y(6y + 21) ÷ 5(2y + 7)

Work out the following division:

9x²y²(3z − 24) ÷ 27xy(z − 8)

Divide as directed.

52pqr (p + q) (q + r) (r + p) ÷ 104pq (q + r) (r + p)

Factorise the expression and divide them as directed.

4yz(z² + 6z − 16) ÷ 2y(z + 8)

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:
x³, − yx²

Divide: 12x² + 7xy − 12y² by 3x + 4y

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

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