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:

(10x − 25) ÷ (2x − 5)

Work out the following division:

10y(6y + 21) ÷ 5(2y + 7)

Factorise the expression and divide them as directed.

(5p² − 25p + 20) ÷ (p − 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:
7x, 21x² and 14xy²

Find the greatest common factor (GCF/HCF) of the following polynomial:
9x², 15x²y³, 6xy² and 21x²y²

Find the greatest common factor (GCF/HCF) of the following polynomial:
a²b³, a³b²

Find the greatest common factor (GCF/HCF) of the following polynomial:
x³, − yx²

Divide: x⁶ − 8 by x² − 2

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