Find the zeroes of the polynomial in each of the following:
$p(x)=x-4$
$1$
$2$
$3$
$4$
Solving the equation $p(x)=0,$ we get
$x-4=0,$ which give us $x=4$
So, $4$ is a zero of the polynomial $x-4$.
From the following polynomials find out which of them has $(x-1)$ as a factor
$2 x^{3}+5 x^{2}-x-6$
What should be added to $p(x)=x^{2}-8 x+10$ so that the resulting polynomial is divisible by $x-3 ?$
Find the quotient and the remainder when $2 x^{2}-7 x-15$ is divided by
$2 x+3$
Verify whether the following are True or False:
$-\frac{1}{3}$ is a zero of $3 x+1$
Verify whether $3$ and $5$ are zeros of the polynomial $x^{2}-x-6$ or not.
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