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2. Polynomials
easy
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
Option A
Option B
Option C
Option D
Solution
$(i)$ We know that highest power of variable in a polynomial is the degree of the polynomial.
In the given polynomial, the term with highest of $x$ is $-x^{6},$ and the exponent of $x$ in this term in $6$
$(ii)$ The coefficient of $x^{3}$ is $\frac{1}{5}.$
$(iii)$ The coefficient of $x^{6}$ is $-1.$
$(iv)$ The constant term is $\frac{1}{5}.$
Standard 9
Mathematics
