2 Mark Question

Question 12 Marks

Divide and write the quotient and the remainder.
$\left(25 m^4-15 m^3+10 m+8\right) \div 5 m^3$

Answer

$\left(25 m^4-15 m^3+10 m+8\right) \div 5 m^3$

$\therefore$ Quotient $=5 m-3$
Remainder $=10 m+8$

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Question 22 Marks

Divide and write the quotient and the remainder.
$\left(6 x^5-4 x^4+8 x^3+2 x^2\right) \div 2 x^2$

Answer

$\left(6 x^5-4 x^4+8 x^3+2 x^2\right) \div 2 x^2$

$\therefore$ Quotient $=3 x ^3-2 x ^2+4 x +1$
Remainder $=0$

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Question 32 Marks

Divide and write the quotient and the remainder.
$\left(21 x^4-14 x^2+7 x\right) \div 7 x^3$

Answer

$(21 \times 4-14 \times 2+7 x) \div 7 \times 3$

$\therefore$ Quotient $=3 x$
Remainder $=-14 x^2+7 x$

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Question 42 Marks

Divide and write the quotient and the remainder.
$\left(2 y^3+4 y^2+3\right) \div 2 y^2$

Answer

$\left(2 y^3+4 y^2+3\right) \div 2 y^2$

$\therefore$ Quotient $= y +2$
Remainder $=3$

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Question 52 Marks

Divide and write the quotient and the remainder.
$\left(8 p^3-4 p^2\right) \div 2 p^2$

Answer

$\left(8 p^3-4 p^2\right) \div 2 p^2$

$\therefore$ Quotient $=4 p-2$
Remainder $=0$

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Question 62 Marks

Divide and write the quotient and the remainder.
$\left(5 x^3-3 x^2\right) \div x^2$

Answer

$(5 \times 3-3 \times 2) \div x^2$

$\therefore$ Quotient $=5 x -3$
Remainder $=0$

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Question 72 Marks

Divide and write the quotient and the remainder.
$40 m^5 \div 30 m^3$

Answer

SOLUTION:
$40 m^5 \div 30 m^3$
$40 m^5 \div 30 m^3$
$=\frac{40 m^5}{30 m^3}$
$=\frac{4 \times 10 m^3 \times m^2}{3 \times 10 m^3}$
$=\frac{4 m^2}{3}$
So, quotient $=\frac{4 m^2}{3}$ and remainder $=0$.
$\therefore$ Quotient $=\frac{4}{3} m^2$
Remainder $=0$

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Question 82 Marks

Divide and write the quotient and the remainder.
$\left(-48 p^4\right) \div\left(-9 p^2\right)$

Answer

$\left(-48 p^4\right) \div\left(-9 p^2\right)$