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

Divide as directed.

5(2x + 1) (3x + 5) ÷ (2x + 1)

Divide as directed.

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

Factorise the expression and divide them as directed.

39y³(50y²− 98) ÷ 26y²(5y + 7)

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:
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:
14x³y⁵, 10x⁵y³, 2x²y²

Divide: x⁶ − 8 by x² − 2

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

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