The given phrase isn't a direct block of code in...
The given phrase isn't a direct block of code in standard programming languages. However, interpreting it as a task that a code attempting to "factor completely" a quadratic expression would perform:
The expression described in plain text is:
(-20z^2 + 44z + 48).
A typical algorithm or function in code designed to handle this would process it as follows:
-
Factor out the greatest common factor (GCF), if any.
The GCF of (-20z^2 + 44z + 48) is (4). Factoring that out:
(4(-5z^2 + 11z + 12)). -
Factorize the quadratic expression (-5z^2 + 11z + 12):
Use methods like trial and error, splitting the middle term, or other techniques:
((-5z^2 + 11z + 12)) factors into:
((-5z - 4)(z - 3)). -
Combine the factors to express the complete factorization:
(4(-5z - 4)(z - 3)).
So, the result of factoring the expression (-20z^2 + 44z + 48) completely is:
[
4(-5z - 4)(z - 3)
]