Verify whether the following are zeroes of the polynomial, indicated against them.
$p(x)=5 x-\pi, \,\,x=\frac{4}{5}$
If $x=\frac{4}{5}$ is a zero of polynomial $p(x)=5 x-n,$ then $p\left(\frac{4}{5}\right)$ should be $0 .$
Here, $p\left(\frac{4}{5}\right)=5\left(\frac{4}{5}\right)-\pi=4-\pi$
As $p\left(\frac{4}{5}\right) \neq 0$,
Therefore, $x=\frac{4}{5}$ is not a zero of the given polynomial.
Find the zero of the polynomial : $p(x)=a x,\,\, a \neq 0$
Find the zero of the polynomial : $p(x)=c x+d, \,c \neq 0, \,c,\,d$ are real numbers.
Determine which of the following polynomials has $(x + 1)$ a factor : $x^{3}-x^{2}-(2+\sqrt{2}) x+\sqrt{2}$
Divide $p(x)$ by $g(x)$, where $p(x) = x + 3x^2 -1$ and $g(x) = 1 + x$.
Classify the following as linear, quadratic and cubic polynomials :
$(i)$ $1+x$
$(ii)$ $3 t$
$(iii)$ $r^{2}$
$(iv)$ $7 x^{3}$