Question

the zeroes of the cubic polynomial x^3-x are
A) 0,1,2
B) 0,1,1
C) 0,1,-1
D) both A and B​

Answer 1

Answer:

c) 0, 1, -1

Step-by-step explanation:

The zeroes of the polynomial is for what values of x is the expression 0

x³-x = 0

To find this we can factorise the polynomial

x³-x = 0

take out x

x(x²-1) = 0

difference of squares

x(x-1)(x+1)=0

And now we see there are three ways we can make this expression 0.

If we set x=0 everything is 0, if we set x=1 then (x-1)=0 and if we set x =-1 then (x + 1) = 0.

If any of these are 0 it makes the whole left side 0.

So these are the three answers. 0, 1, -1

Answer 2

Step-by-step explanation:

yes option c. 0,1,-1 and follow me