Divide: X6 − 8 by X2 − 2

Divide: x⁶ − 8 by x² − 2

बेरीज

`"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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पाठ 11: Algebraic Expressions - Exercise 11 (D) [पृष्ठ १४५]

पाठ 11 Algebraic Expressions
Exercise 11 (D) | Q 1.12 | पृष्ठ १४५

Work out the following division:

(10x − 25) ÷ 5

Work out the following division:

(10x − 25) ÷ (2x − 5)

Factorise the expression and divide them as directed.

12xy(9x² − 16y²) ÷ 4xy(3x + 4y)

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:
6x²y², 9xy³, 3x³y²

Divide: a² + 7a + 12 by a + 4

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

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

Find the quotient and the remainder when :
6x² + x − 15 is divided by 3x + 5. verify your answer.

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