Question

All zeros of the polynomial function 3x^3 + 2x^2

Answer 1

`x = 0, -2/3`

Explanation:

Step 1: Factor out an x^2

`3x^3+2x^2`

`x^2(3x + 2)`

Step 2: Find the zeros

`√(x^2 ) = √(0)`

`x = 0` → Double Root

`3x + 2 - 2 = 0 - 2`

`(3x)/(3) = (-2)/(3)`

`x = -2/3` → Single Root

Answer:
`x = 0, -2/3`