Answer:
[tex]x^2+11x+24=0[/tex]
Step-by-step explanation:
Given that,
The zeros of a quadratic function are -3 and -8
It means,
(x+3) = 0 and (x+8)=0
Now multiply them together,
[tex](x+3)(x+8)=0\\\\x^2+8x+3x+24=0\\\\x^2+11x+24=0[/tex]
Hence, the required equation is equal to [tex]x^2+11x+24=0[/tex].