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:

9x²y²(3z − 24) ÷ 27xy(z − 8)

Work out the following division:

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

Divide as directed.

52pqr (p + q) (q + r) (r + p) ÷ 104pq (q + r) (r + p)

Factorise the expression and divide them as directed.

(y² + 7y + 10) ÷ (y + 5)

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:
a²b³, a³b²

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

Divide: x⁶ − 8 by x² − 2

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