Divide: X6 − 8 by X2 − 2

Divide: x⁶ − 8 by x² − 2

योग

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

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

Divide as directed.

26xy(x + 5) (y − 4) ÷ 13x(y − 4)

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:
36a²b²c⁴, 54a⁵c², 90a⁴b²c²

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

Divide: 12x² + 7xy − 12y² by 3x + 4y

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

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.