Answer:
-16=b
Step-by-step explanation:
If x+3 is a factor of 6x^3 - bx^2 + 18, then 6(-3)^3-b(-3)^2+18=0.
That's called factor theorem.
Let's solve.
First simplify what we can.
6(-27)-b(9)+18=0
-162-9b+18=0
Combine like terms:
-144-9b=0
Add 9b on both sides:
-144=9b
Divide both sides by 9:
-144/9=b
-16=b