Thomas creates the table shown to represent the function ƒ(x) = x2 + 3x - 10. determine the zeros of the equation. a) x=-5 and x=2 b) x=0 and x=-3 c) x=0 and x=-10 d) x-2 and x=-1

A

Explanation: The zeroes of f(x) are the value/s of x such that f(x) = 0. So, we need to find the values of x in the equation f(x) = 0.

Note that

f(x) = 0
⇔ x² + 3x - 10 = 0

By factoring into binomials, x² + 3x - 10 = (x + 5)(x - 2). Thus, 

x² + 3x - 10 = 0
⇔ (x + 5)(x - 2) = 0
⇔ x + 5 = 0 or x - 2 = 0
⇔ x = -5 or x = 2

Hence, the zeroes of x are  -5 and 2. 

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