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Algebraic Expressions, Identities and Factorisation — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions, Identities and Factorisation2 Marks
Question
Perform the following divisions:
$\left(a x^3-b x^2+c x\right) \div(-d x)$
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Answer

$\left(a x^3-b x^2+c x\right) \div(-d x)$
$=\frac{\text{ax}^3-\text{bx}^2+\text{cx}}{-\text{dx}}$
$=\frac{\text{ax}^3}{-\text{dx}}+\frac{\text{bx}^2}{\text{dx}}+\frac{\text{cx}}{\text{-dx}}$
$=\frac{\text{a}\times\text{x}\times\text{x}\times\text{x}}{-\text{d}\times\text{x}}+\frac{\text{b}\times\text{x}\times\text{x}}{\text{d}\times\text{x}}+\frac{\text{c}\times\text{x}}{-\text{d}\times\text{x}}$
$=-\frac{\text{a}}{\text{b}}\text{x}^2+\frac{\text{b}}{\text{d}}\text{x}-\frac{\text{c}}{\text{d}}$

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