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

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

Sum

`2"x"^2-"x"-6) overline(6"x"^3 -13"x"^2-13"x"+30)(3"x"-5 `
`6"x"^3-3"x"^2-18"x"`
− + +
−10x² + 5x + 30
−10x²+ 5x + 30
+ − −
×

∴ 3x − 5

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Chapter 11: Algebraic Expressions - Exercise 11 (D) [Page 145]

Chapter 11 Algebraic Expressions
Exercise 11 (D) | Q 1.13 | Page 145

Work out the following division:

(10x − 25) ÷ (2x − 5)

Divide as directed.

26xy(x + 5) (y − 4) ÷ 13x(y − 4)

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:
42x²yz and 63x³y²z³

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:
15a³, − 45a², − 150a

Find the greatest common factor (GCF/HCF) of the following polynomial:
2x³y², 10x²y³, 14xy

Find the greatest common factor (GCF/HCF) of the following polynomial:
14x³y⁵, 10x⁵y³, 2x²y²

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