Divide: X2 + 3x − 54 by X − 6

Divide: x² + 3x − 54 by x − 6

योग

`"x"-6) overline("x"^2+3"x"-54)("x"+9`
`"x"^2 - 6"x"`
− +
9x − 54
+ 9x − 54
− +
×

∴ x + 9

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

अध्याय 11 Algebraic Expressions
Exercise 11 (D) | Q 1.1 | पृष्ठ १४५

Work out the following division:

10y(6y + 21) ÷ 5(2y + 7)

Divide as directed.

x(x + 1) (x + 2) (x + 3) ÷ x(x + 1)

Factorise the expression and divide them as directed.

(5p² − 25p + 20) ÷ (p − 1)

Find the greatest common factor (GCF/HCF) of the following polynomial:
9x², 15x²y³, 6xy² and 21x²y²

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:
2x³y², 10x²y³, 14xy

Divide: 4a² + 12ab + 9b² − 25c² by 2a + 3b + 5c

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

The area of a rectangle is x³ – 8x + 7 and one of its sides is x – 1. Find the length of the adjacent side.

Divide x⁶ – y⁶ by the product of x² + xy + y² and x – y.