Factorisation - ICSE STD 8 MATHS Questions

Factors of $4x^2 – 12x + 9$ are $(2x – 3) (2x – 3).$

To factorise the trinomial of the form $ax^2 + bx + c$ where$, a, b, c$ are integers we want to find two integers $A$ and $B$ such that $A + B = ac$ and $AB = b$

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Q 3TRUE / FALSE1 Mark

Factorisation by grouping is possible only if the given polynomial contains an even number of terms.

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Q 4TRUE / FALSE1 Mark

$\text{HCF}$ of $6x^2y^2$ and $8xy^3$ is $2xy^2.$

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Q 5TRUE / FALSE1 Mark

$HCF$ of two or more polynomials $($with integral coefficients$)$ is the smallest common factor of the given polynomials.

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Q 6fill in the blanks.1 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 $……….. ac$.

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Q 7fill in the blanks.1 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 $ab = ………..$

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Q 8fill in the blanks.1 Mark

$\text{HCF}$ of literal coefficients $=$ product of each common literal raised to the $………..$ power.

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Q 9fill in the blanks.1 Mark

$\text{HCF}$ of two or more monomials $= (\text{HCF}$ of their $………..$ coefficients$) \times (\text{HCF}$ of their literal coefficients$)$

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Q 10fill in the blanks.1 Mark

The process of finding two or more expressions whose product is the given expression is called $………..$