Answer:
4
Step-by-step explanation:
[tex]g(x) = {x}^{2} + 4x - 32 \\ plug \: g(x) = 0 \\ \implies \: 0 = {x}^{2} + 8x - 4x - 32 \\ \implies \: 0 = x(x + 8) - 4(x + 8) \\ \implies \: 0 = (x + 8)(x - 4) \\ \implies \: x + 8 = 0 \: \: or \: \: x - 4 = 0 \\ \implies \: x = - 8 \: \: or \: \: x = 4 \\ thus \: the \: value \: of \: positive \: zero \\ is \: 4[/tex]