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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
    $\text{p}\Big(\frac{\text{a}}{\text{b}}\Big)$
  • B
    $\text{p}\Big(\frac{\text{b}}{\text{a}}\Big)$
  • C
    $\text{p}\Big(\frac{\text{-a}}{\text{b}}\Big)$
  • D
    $\text{p}\Big(\frac{\text{-b}}{\text{a}}\Big)$ 
✓

Answer

  1. $\text{p}\Big(\frac{\text{b}}{\text{a}}\Big)$
    Solution:
    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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