Question

x^3-x=0 solve the question by using the principle of zero products​

Answer 1

Answer: The Zero Product Property, name only used in one math textbook, is when you rearange one side of the equation to be 0, then factor the other side.

Say you had

x^2+4x=12

First, subtract 12 to both sides, so you have

x^2+4x-12=0

Then factor it.

(x+6)(x-2)=0

(if one of the multiplyers doesnt contain x, then it doesnt matter, because you can divide zero by it and zero will still be zero)

This means that one or both of the multiplyers must be equal to zero. If they are both zero, then it has to be zero, and if one of them is, then multiplied to the other would still equal zero.

So is x+6 is zero, then x=-6.

If x-2 is zero, then x=2.

On a porabola, this gives you the x intercepts.

Step-by-step explanation: