Exercise 5 E
Divide :
Q1 | Ex-5E | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper
Question 1
$a^{2}+6 a+5$ by $a+1$
Sol :
Q2 | Ex-5E | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper
Question 2
$x^{2}-3 x+2$ by $x-1$
Sol :
Q3 | Ex-5E | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper
Question 3
$x^{2}+4 x-21$ by $x+7$
Sol :
Q4 | Ex-5E | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper
Question 4
$14-17 x+5 x^{2}$ by $2-x$
Sol :
Q5 | Ex-5E | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper
Question 5
$14 x^{2}+13 x-15$ by $7 x-4$
Sol :
Q6 | Ex-5E | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper
Question 6
$x^{3}+3-4 x+2 x^{2}$ by $x-2$
Sol :
Q7 | Ex-5E | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper
Question 7
$x^{4}+4 x-2 x^{2}+x^{3}-10$ by $x-2$
Sol :
Q8 | Ex-5E | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper
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:
Q9 | Ex-5E | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper
Question 9
$x-7 ; x^{2}-3 x-28$
Sol :
Q10 | Ex-5E | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper
Question 10
$2 x-3 ; 6 x^{3}+x^{2}-19 x+6$
Sol :
Q11 | Ex-5E | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper
Question 11
$x-6 ; x^{2}-12 x+40$
Sol :
Q12 | Ex-5E | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper
Question 12
$6 p^{3}+5 p^{2}+4$ by $(2 p+1)$
Sol :
Q13 | Ex-5E | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper
Question 13
$x^{3}+4 x-3$ by $(x+5)$
Sol :
Q14 | Ex-5E | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper
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)
Q15 | Ex-5E | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper
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 :
Q16 | Ex-5E | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper
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 :
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