How to factor 4x^3 -4x+16 ?
You should first find the common factor and then divide all parts of the equation by it. For example, if it was 27x^3-12x+18, the factored equation would be 3(9x^3-4x+6). Hope that helps!
I know that but i wanna factor it till the end and how can i do it when its missing the squared term.
To factor the expression 4x^3 - 4x + 16, we can check for any common factors and then use the method of factoring by grouping.
Step 1: Check for common factors:
In this case, the expression does not have any common factors that can be factored out.
Step 2: Factor by grouping:
First, group the terms in pairs:
(4x^3 - 4x) + 16
Now, apply the distributive property and factor out the greatest common factor from each pair:
4x(x^2 - 1) + 16
Step 3: Factor the remaining terms:
(x^2 - 1) is a difference of squares, which can be factored as (x + 1)(x - 1).
Step 4: Combine the factors:
The factored form of the expression 4x^3 - 4x + 16 is 4x(x + 1)(x - 1) + 16.
Therefore, the complete factorization of 4x^3 - 4x + 16 is 4x(x + 1)(x - 1) + 16.