Answer:
-2, 5
Step-by-step explanation:
[tex]f(x) = {x}^{2} - 3x - 10 \\ let \: f(x) = 0 \\ {x}^{2} - 3x - 10 = 0 \\ {x}^{2} - 5x + 2x - 10 = 0\\ x(x - 5) + 2(x - 5) = 0\\ (x - 5)(x + 2) = 0 \\ x - 5 = 0 \: \: or \: \: x + 2 = 0 \\ x = 5 \: \: or \: \: x = - 2 \\ [/tex]
Hence, - 2 & 5 5 are the x-intercepts of the given quadratic function.
