Question

For the polynomial
$\frac{x^3+2x+1}{5}-\frac{7}{2}{x}^2-x^6$, write

(i) The degree of the polynomial

(ii) The coefficient of $x^3$

(iii) The coefficient of $x^6$

(iv) The constant term

Answer 1

Given polynomial is $\frac{x^3+2x+1}{5}-\frac{7}{2}{x}^2-x^6$ ,
$=\frac{1}{5}{x}^3+\frac{2x}{5}+\frac{1}{5}-\frac{7}{2}{x}^2-x^6$

(i) The degree of the polynomial is the highest power of the variable i.e. 6.

(ii)The coefficient of $x^3$ in given polynomial is $\frac{1}{5}$.

(iii)The coefficient of $x^6$ in given polynomial is -1.

(iv)The constant term in given polynomial is $\frac{1}{5}$.