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

Divide: a² + 7a + 12 by a + 4

Sum

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

∴ a = 3

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

Chapter 11 Algebraic Expressions
Exercise 11 (D) | Q 1.09 | Page 145

Work out the following division:

10y(6y + 21) ÷ 5(2y + 7)

Work out the following division:

9x²y²(3z − 24) ÷ 27xy(z − 8)

Work out the following division:

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

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:
6x³y and 18x²y³

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

Find the greatest common factor (GCF/HCF) of the following polynomial:
36a²b²c⁴, 54a⁵c², 90a⁴b²c²

Divide: x² + 3x − 54 by x − 6

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

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