Question

Identify the zeros for the function and sketch a graph.
y=x(x-2)(x+3)

Answer 1

set all factors equal to zero

x = 0

x-2=0 or x = 2

x+3 - 0 or x = -3

theses are the zeros or the roots or where the graph touches the x axis

see image

Answer 2

The given function is,

y=x(x-2)(x+3).

It is a cubic polynomial, whose Zeroes can be evaluated by, putting , y=0

→x(x-2)(x+3)=0

→x=0, ∧ x-2=0 ∧ x +3=0

→ x=0 ∧ x=2, ∧ x= -3

So, x=0, 2, -3 are zeroes of the cubic polynomial or the given function.