Question

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

Answer 1

Answer:

$x = 0, -2/3$

Step-by-step explanation:

Step 1:  Factor out an x^2

$3x^3+2x^2$

$x^2(3x + 2)$

Step 2:  Find the zeros

$\sqrt{x^2 } = \sqrt{0}$

$x = 0$ → Double Root

$3x + 2 - 2 = 0 - 2$

$\frac{3x}{3} = \frac{-2}{3}$

$x = -2/3$ → Single Root

Answer:  $x = 0, -2/3$