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

(i) The degree of the polynomial

(ii) The coefficient of $x^{3}$

(iii) The coefficient of $x^{6}$

(iv) The constant term

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Solution

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

(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 $\frac{1}{5}$ .

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Similar questions

\frac{x^{3} + 2 x + 1}{5} - \frac{7}{2} x^{2} - x^{6}

x^{3}

x^{6}

Write the coefficient of x⁶

:X³+2x+1/5-7/2 x²-x⁶

\frac{x^{3} + 2 x + 1}{5} - \frac{7}{2} x^{2} - x^{6}

x^{6}

Write the constant term:

:X³+2x+1/5-7/2 x²-x⁶

Write

(i) the coefficient of $x^{3}$ in $x + 3 x^{2} - 5 x^{3} + x^{4}$

(ii) the coefficient of $x$ in $\sqrt{3} - 2 \sqrt{2} x + 6 x^{2}$

(iii) the coefficient of $x^{2}$ in $2 x - 3 + x^{3}$

(iv) the coefficient of $x$ in $\frac{3}{8} x^{2} - \frac{2}{7} x + \frac{1}{6}$

(v) the constant term in $\frac{π}{2} x^{2} + 7 x - \frac{2}{5} π$

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