Question

Chose all possible zeros of the polynomial of h(x)=5x3 - 5x - 10x.

Answer 1

Answer:

The possible zeros/roots of the polynomial are

$x = 0\\x=-\sqrt{3} \\ x=\sqrt{3}$

Step-by-step explanation:

$h(x)=5x^3 - 5x - 10x$

$h(x)=5x^3 -15x$

$h(x)=5x(x^2 -3)$

When $y= 0$

$0=5x(x^2 -3)$

$5x = 0 \implies x = 0$

$x^2 - 3 = 0 \implies x=\pm\sqrt{3}$