Question

How do you factor `v^ { 2} - 5v z - 24z ^ { 2}`?

Answer 1

f(v) = (v + 3z)(v - 8z)

Explanation:

Consider v as a variable and z as a constant
`f(v) = v^2 - 5zv - 24z^2`
To factor f(v), find 2 numbers, with opposite signs (ac < 0), knowing sum (b = -5) and product (`c = -24z^2`).
They are: 3z and -8z. (sum = b = -5, and product `c = -24z^2`)
Factor form:
f(v) = (v + 3z)(v - 8z)