which function has zeros at x = -2 and x = 5?\no f(x)=x² + 2x - 10\no f(x)=x² - 2x - 10\no f(x)=x² + 3x…

Explanation:

Step1: Recall zero - factor property

If (x = a) and (x = b) are zeros of a function, then ((x - a)) and ((x - b)) are factors of the function. Here (a=-2) and (b = 5), so the factors are ((x+2)) and ((x - 5)).

Step2: Multiply the factors

[ \begin{align*} (x + 2)(x-5)&=x\times x+x\times(-5)+2\times x + 2\times(-5)\ &=x^{2}-5x+2x - 10\ &=x^{2}-3x - 10 \end{align*} ]

Answer:

(f(x)=x^{2}-3x - 10) (the fourth option)