3 Mark Question - Maths STD 8 Questions - Vidyadip

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7 questions · timed · auto-graded

Question 13 Marks

Devide The Following :
$\left(4 x^4-5 x^3-7 x+1\right) \div(4 x-1)$

Answer

$\left(4 x^4-5 x^3-7 x+1\right) \div(4 x-1)$
Write the dividend in descending order of their indices.
$\left(4 x^4-5 x^3-7 x+1\right)=\left(4 x^4-5 x^3+0 x^2-7 x+1\right)$

$\begin{aligned} & \therefore \text { Quotient }=x^3-x^2-\frac{x}{4}-\frac{29}{16} \\ & \text { Remainder }=\frac{-13}{16}\end{aligned}$

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Question 23 Marks

Devide The Following :
$\left(a^4-a^3+a^2-a+1\right) \div\left(a^3-2\right)$

Answer

$\left(a^4-a^3+a^2-a+1\right) \div\left(a^3-2\right)$

$\therefore$ Quotient $= a -1$
Remainder $=a^2+a-1$

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Question 33 Marks

Devide The Following :
$\left(3 x-3 x^2-12+x^4+x^3\right) \div\left(2+x^2\right)$

Answer

$\left(3 x-3 x^2-12+x^4+x^3\right) \div\left(2+x^2\right)$
Write the dividend in descending order of their indices.
$\left(x^4+x^3-3 x^2+3 x-12\right) \div\left(x^2+2\right)$

$\therefore \text { Quotient }=x^2+x-5$
$\text { Remainder }=x-2$

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Question 43 Marks

Devide The Following :
$\left(2 m^3+m^2+m+9\right) \div(2 m-1)$

Answer

$\left(2 m^3+m^2+m+9\right) \div(2 m-1)$

$\therefore \text { Quotient }= m ^2+ m +1$
$ \text { Remainder }=10$

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Question 53 Marks

Devide The Following :
$\left(3 x+2 x^2+4 x^3\right) \div(x-4)$

Answer

$\left(3 x+2 x^2+4 x^3\right) \div(x-4)$
Write the dividend in descending order of their indices.
$3 x+2 x^2+4 x^3=4 x^3+2 x^2+3 x$

$\therefore \text { Quotient }=4 x^2+18 x+75$
$\text { Remainder }=300$

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Question 63 Marks

Devide The Following :
$\left(p^2+7 p-5\right) \div(p+3)$

Answer

$\left(p^2+7 p-5\right) \div(p+3)$

$\therefore \text { Quotient }=p+4$
$\text { Remainder }=-17$

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Question 73 Marks

Devide The Following :
$\left(y^2+10 y+24\right) \div(y+4)$

Answer

$\left(y^2+10 y+24\right) \div(y+4)$

$\therefore$ Quotient $= y +6$
Remainder $=0$

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