Find the degree of the polynomials given : $x^{5}-x^{4}+3$
$5$
$4$
$3$
$2$
The highest power of the variable is $5$. So, the degree of the polynomial is $5$ .
Divide $p(x)$ by $g(x)$, where $p(x) = x + 3x^2 -1$ and $g(x) = 1 + x$.
Find the value of each of the following polynomials at the indicated value of variables : $q(y)=3 y^{3}-4 y+\sqrt{11}$ at $y=2$
Factorise : $49 a^{2}+70 a b+25 b^{2}$
Find the zero of the polynomial : $p(x)=a x,\,\, a \neq 0$
Expand each of the following, using suitable identities : $\left[\frac{1}{4} a-\frac{1}{2} b+1\right]^{2}$
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