Divide: X6 − 8 by X2 − 2 - Mathematics

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.

26xy(x + 5) (y − 4) ÷ 13x(y − 4)

Factorise the expression and divide them as directed.

39y³(50y²− 98) ÷ 26y²(5y + 7)

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:
x³, − yx²

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Divide: 6x³− 13x² − 13x + 30 by 2x² − x − 6

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

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