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Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsPolynomials1 Mark
MCQ
The remainder obtained when the polynomial $p(x)$ is divided by $(b - ax)$ is:
  • A
    $\text{p}\Big(\frac{\text{a}}{\text{b}}\Big)$
  • ✓
    $\text{p}\Big(\frac{\text{b}}{\text{a}}\Big)$
  • C
    $\text{p}\Big(\frac{\text{-a}}{\text{b}}\Big)$
  • D
    $\text{p}\Big(\frac{\text{-b}}{\text{a}}\Big)$
✓

Answer

Correct option: B.
$\text{p}\Big(\frac{\text{b}}{\text{a}}\Big)$
Given: Divisor $= b - ax$
For getting the remainder we have to find value of $x$, which is put in $p(x).$
Then, $b - ax = 0$
$\Rightarrow\text{x}=\frac{\text{b}}{\text{a}}$
Therefore, the required remainder is $\text{p}(\text{x})=\text{p}\Big(\frac{\text{b}}{\text{a}}\Big)$

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