which of the following values is a zero of f(x)=2x^3-5x^2-12x
Solve for x:
2 x^3-5 x^2-12 x = 0
The left hand side factors into a product with three terms:
x (x-4) (2 x+3) = 0
Split into three equations:
x-4 = 0 or x = 0 or 2 x+3 = 0
Add 4 to both sides:
x = 4 or x = 0 or 2 x+3 = 0
Subtract 3 from both sides:
x = 4 or x = 0 or 2 x = -3
Divide both sides by 2:
Answer: |
| x = 4 or x = 0 or x = -3/2
