Question

Verify whether the following are zeroes of the polynomial, indicated against them.
$p\left(x\right)=(x-3)(x+5);x=3,-5$

Answer 1

$p\left(x\right)=(x-3)(x+5);x=3,-5$
$\therefore p\left(3\right)=(3-3)(3+5)$
$=0\times 8=0$
and $p(-5)=(-5-3)(-5+5)$
$=8\times 0=0$
Yes, both $3$ and $-5$ are zeroes of the polynomial $p\left(x\right)=(x-3)(x+5).$