MCQ
Consider the polynomial $\frac{\text{x}^3+2\text{x}+1}{5}-\frac{7}{2}\text{x}^2-\text{x}^6$ The constant term is:
  • A
    $\frac{1}{7}$
  • $\frac{1}{5}$
  • C
    $\frac{1}{2}$
  • D
    $\frac{1}{3}$

Answer

Correct option: B.
$\frac{1}{5}$
$\frac{\text{x}^3+2\text{x}+1}{5}-\frac{7}{2}\text{x}^2-\text{x}^6$
$=\frac{\text{x}^3+2\text{x}+1}{5}-\frac{7}{2}\text{x}^2-\text{x}^6$
$=-\text{x}^6+\frac{\text{x}^3}{5}-\frac{7\text{x}^2}{2}+\frac{\text{2x}}{5}+\frac{1}{5}$
So, the constant term $=\frac{1}{5}$

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