Answer: (z + 2)(z - 3)
Step-by-step explanation:
First, we have 1 as a coefficient on z², so we multiply that by -6, which gives us -6. Now we must find out what two numbers when multiplied, give us -6, and when added together, give us -1 (z's coefficient). Going through -6's factors, I got -3 and 2 since we need a negative one when they are added together. Now we can input our values:
(z - 3)(z + 2).
Double checking, we get the starting equation, which means our factorization was correct, and so is the solution.
Note: it does not matter which binomial comes first because you will get the same answer regardless of its position.
