problem: 4x^3-24x
would this be the answer to the problem?
4x(x^2-6)
yes
4x^3-24x
4x (x^2 - 6)= 0
4x = 0
x = 0
x^2 - 6 = 0
x^2 = 6
x = +- sqrt(6)
x = 0, x = +- sqrt(6)
To determine if your proposed answer is correct, we can multiply it out and see if it simplifies to the original expression. Let's multiply 4x(x^2 - 6) using the distributive property:
4x(x^2 - 6) = 4x * x^2 - 4x * 6
Multiplying each term separately:
= 4x^3 - 24x
As you can see, multiplying 4x(x^2 - 6) indeed simplifies to the original expression 4x^3 - 24x. Therefore, your answer is correct!