Answer:
[tex]x = 0, -2/3[/tex]
Step-by-step explanation:
Step 1: Factor out an x^2
[tex]3x^3+2x^2[/tex]
[tex]x^2(3x + 2)[/tex]
Step 2: Find the zeros
[tex]\sqrt{x^2 } = \sqrt{0}[/tex]
[tex]x = 0[/tex] → Double Root
[tex]3x + 2 - 2 = 0 - 2[/tex]
[tex]\frac{3x}{3} = \frac{-2}{3}[/tex]
[tex]x = -2/3[/tex] → Single Root
Answer: [tex]x = 0, -2/3[/tex]
