Find the zero of the polynomial : $p(x) = 3x$
$3$
$0$
$-3$
$0.3$
Since $p ( x )=3 x$ $\therefore $ $p ( x )=0$
$\Rightarrow$ $3 x=0$ or $x =\frac{0}{3}$ or $0$
Thus, a zero of $3 x$ is $0$.
Verify whether the following are zeroes of the polynomial, indicated against them.
$p(x)=5 x-\pi, \,\,x=\frac{4}{5}$
Check whether the polynomial $q(t)=4 t^{3}+4 t^{2}-t-1$ is a multiple of $2 t+1$.
Factorise : $27 x^{3}+y^{3}+z^{3}-9 x y z$
Expand each of the following, using suitable identities : $\left[\frac{1}{4} a-\frac{1}{2} b+1\right]^{2}$
Expand each of the following, using suitable identities : $(3 a-7 b-c)^{2}$
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