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

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

बेरीज

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

पाठ 11 Algebraic Expressions
Exercise 11 (D) | Q 1.13 | पृष्ठ १४५

Work out the following division:

96abc(3a − 12)(5b − 30) ÷ 144(a − 4) (b − 6)

Divide as directed.

5(2x + 1) (3x + 5) ÷ (2x + 1)

Find the greatest common factor (GCF/HCF) of the following polynomial:
2x² and 12x²

Find the greatest common factor (GCF/HCF) of the following polynomial:
7x, 21x² and 14xy²

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:
36a²b²c⁴, 54a⁵c², 90a⁴b²c²

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

Find the quotient and the remainder when :
a³− 5a² + 8a + 15 is divided by a + 1. verify your answer.

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