For the polynomial $p(x),$ if $p(7)=0,$ then $\ldots$ is............ a factor of $p(x) .$
$7 x-1$
$7 x+1$
$x-7$
$x+7$
$4 x^{2}-20 x+25=(\ldots \ldots \ldots)^{2}$
With the help of the remainder theorem, find the remainder when the polynomial $x^{3}+x^{2}-26 x+24$ is divided by each of the following divisors
$x+1$
The following expressions are polynomials? Justify your answer:
$\frac{1}{5 x^{-2}}+5 x+7$
Factorise :
$1+64 x^{3}$
Find the quotient and the remainder when $2 x^{2}-7 x-15$ is divided by
$2 x+3$
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