Divide: a2 + 7a + 12 by a + 4

Divide: a² + 7a + 12 by a + 4

योग

`"a"+4) overline("a"^2+7"a"+12)("a"+3`
`"a"^2 + 4"a"`
− −
3a + 12
3a + 12
− −
×

∴ a = 3

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

अध्याय 11 Algebraic Expressions
Exercise 11 (D) | Q 1.09 | पृष्ठ १४५

Work out the following division:

9x²y²(3z − 24) ÷ 27xy(z − 8)

Divide as directed.

5(2x + 1) (3x + 5) ÷ (2x + 1)

Divide as directed.

x(x + 1) (x + 2) (x + 3) ÷ x(x + 1)

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:
4a²b³, −12a³b, 18a⁴b³

Find the greatest common factor (GCF/HCF) of the following polynomial:
6x²y², 9xy³, 3x³y²

Divide: x² + 3x − 54 by x − 6

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

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

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