Factor the following polynomial.
4x^3-24x
You can factor out 4x from both terms.
Would the answer look like this?
4x(x^2-6)
yes
To factor the polynomial 4x^3 - 24x, we can first find the greatest common factor (GCF) of the terms.
Step 1: Find the GCF
The GCF of 4x^3 and 24x is 4x. We factor it out by dividing each term by the GCF:
4x^3 / (4x) = x^2
24x / (4x) = 6
Step 2: Rewrite the expression
Now that we have factored out the GCF, we can rewrite the polynomial as:
4x^3 - 24x = 4x(x^2 - 6)
So, the factored form of the polynomial 4x^3 - 24x is 4x(x^2 - 6).