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
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
$(i)$ 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 $\frac{1}{5}.$
Similar Questions
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For polynomial $p(x)=x^{3}-3 x^{2}+8 x+12$, $p(-1)=\ldots \ldots \ldots$
...... is one of the factors of $p(x)=x^{3}-3 x^{2}+7 x-5$
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Evaluate the following using suitable identities
$(105)^{3}$
Evaluate the following using suitable identities
$(105)^{3}$