Answer: The smallest zero is -3.
Step-by-step explanation: Zeros of a function are the values of input for which the function gives 0 output.
Here, the given function is,
p(x) = x(x-5)(x-2)(x+3)
For finding the zeroes of p(x),
p(x) = 0
⇒ x(x-5)(x-2)(x+3) = 0,
⇒ x = 0 or x - 5 = 0 or x-2=0 or x+3=0
⇒ x = 0 or x = 5 or x = 2 or x = -3
Thus, the zeros of the given function are 0, 5, 2, -3
In which -3 is smallest.
Answer:
x = -3
Step-by-step explanation:
x(x-5)(x-2)(x+3) = 0 means at least one of these terms = 0
so
x = 0 or
x-5 = 0 then x = 5 or
x-2 = 0 then x = 2 or
x+3 = 0 then x= -3
