S.chand Class 8 Maths Solution Chapter 5 Algebraic Expressions and Special Products Exercise 5 E

 Exercise 5 E

Divide :

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Question 1

$a^{2}+6 a+5$ by $a+1$

Sol :

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Question 2

$x^{2}-3 x+2$ by $x-1$

Sol :

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Question 3

$x^{2}+4 x-21$ by $x+7$

Sol :

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Question 4

$14-17 x+5 x^{2}$ by $2-x$

Sol :

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Question 5

$14 x^{2}+13 x-15$ by $7 x-4$

Sol :

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Question 6

$x^{3}+3-4 x+2 x^{2}$ by $x-2$

Sol :

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Question 7

$x^{4}+4 x-2 x^{2}+x^{3}-10$ by $x-2$

Sol :

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Question 8

$8 x^{2}+21 x+x^{3}+18$ by $6+5 x+x^{2}$

Sol :

Using division find whether or not the first polynomial is a factor of the second:

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Question 9

$x-7 ; x^{2}-3 x-28$

Sol :

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Question 10

$2 x-3 ; 6 x^{3}+x^{2}-19 x+6$

Sol :

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Question 11

$x-6 ; x^{2}-12 x+40$

Sol :

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Question 12

$6 p^{3}+5 p^{2}+4$ by $(2 p+1)$

Sol :

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Question 13

$x^{3}+4 x-3$ by $(x+5)$

Sol :

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Question 14

What should be added to $6 x^{5}+4 x^{4}-27 x^{3}-7 x^{2}-27 x-6$ so that the resulting polynomial is exactly divisible by $\left(2 x^{2}-3\right)$.

Sol :

Multiple Choice Questions (MCQs)

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Question 15

What will be the remainder when $6 x^{5}+4 x^{4}-27 x^{3}$ $-7 x^{2}+27 x+\frac{3}{2}$ is divided by $\left(2 x^{2}-3\right) ?$

(a) $\frac{1}{2}$

(b) $-\frac{1}{2}$

(c) 0

(d) $-\frac{9}{2}$

Sol :

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Question 16

What should be subtracted from $8 x^{4}+14 x^{3}$ $-2 x^{2}+7 x-8$ so that the resulting polynomial is exactly divisible by $4 x^{2}+3 x-2$.

(a) $-14 x+10$

(b) $13 x-9$

(c) $14 x-10$

(d) $-10$

Sol :