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Factorisation · ICSE STD 8 (ICSE - English Medium). 6 questions.

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6 questions · timed · auto-graded

Question 11 Mark
To factorise the trinomial of the form $ax^2 + bx + c,$ where $a, b$ and $c$ are integers, we split $b$ into two parts such that $………..$ of these parts is $b$ and their is $……….. ac$.
Answer
To factorise the trinomial of the form $ax^2 + bx + c,$ where $a, b$ and $c$ are integers, we split $b$ into two parts such that algebraic sum of these parts is $b$ and their product is $ac$.
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Question 21 Mark
To factorise the trinomial of the form $x^2 + px + q,$ we need to find two integers $a$ and $b$ such that $a + b = ………..$ and $ab = ………..$
Answer
To factorise the trinomial of form $x^2 + px + q,$ we need to find two integers $a$ and $b$ such that $a + b= p$ and $ab = q$.
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Question 31 Mark
$\text{HCF}$ of literal coefficients $=$ product of each common literal raised to the $………..$ power.
Answer
$\text{HCF}$ of literal coefficients $=$ product of each common literal raised to the lowest power.
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Question 41 Mark
$\text{HCF}$ of two or more monomials $= (\text{HCF}$ of their $………..$ coefficients$) \times (\text{HCF}$ of their literal coefficients$)$
Answer
$\text{HCF}$ of two or more monomials
$= (\text{HCF}$ of their numerical coefficients$) \times (\text{HCF}$ of their literal coefficients$)$
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Question 51 Mark
The process of finding two or more expressions whose product is the given expression is called $………..$
Answer
The process of finding two or more expressions whose product is the given expression is called factorization.
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Question 61 Mark
When an algebraic expression can be written as the product of two or more expressions then each of these expressions is called $……….. $of the given expression.
Answer
When an algebraic expression can be written as the product of two or more expressions then each of these expressions is called factor of the given expression.
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