Question

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

Answer 1

Answer: A

Step-by-step 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.