Question

Consider the polynomial $\frac{x^3+2x+1}{5}-\frac{7}{2}{x}^2-x^6$.

The constant term is:

• A. $\frac{1}{7}$
• B. $\frac{1}{5}$
• C. $\frac{1}{2}$
• D. $\frac{1}{3}$

Answer 1

Answer: (B)

$\frac{1}{5}$

$\frac{x^3+2x+1}{5}-\frac{7}{2}{x}^2-x^6$
$=\frac{x^3+2x+1}{5}-\frac{7}{2}{x}^2-x^6$
$=-x^6+\frac{x^3}{5}-\frac{7x^2}{2}+\frac{2x}{5}+\frac{1}{5}$
So, the constant term= $\frac{1}{5}$