Polynomial function in standard form

Write a polynomial function in standard form with zeros at -2. -4 and -3. Can someone please help me

Think factor x+5 = 0 then zero = -5

1st) Put the zeros back into factor form.
2nd) Multiply it out.
(x + 2)(x + 4)(x + 3)
(x + 2)(x² + 7x + 12)
x³ + 7x² + 12x + 2x² + 14x + 24

x³ + 9x² + 26x + 24

(x + 2)(x + 4)(x + 3)

(x^2 + 4x + 2x + 8)(x + 3) = (x^2 + 6x + 8)(x + 3)
= x^3 + 3x^2 + 6x^2 + 18x + 8x + 24

= x^3 + 9x^2 +26x + 24