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:

10y(6y + 21) ÷ 5(2y + 7)

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

Find the greatest common factor (GCF/HCF) of the following polynomial:
15a³, − 45a², − 150a

Divide: a² + 7a + 12 by a + 4

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.

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