Answer:
To find the zeros of the function g(x), we need to set g(x) equal to zero and solve for x.
g(x) = x² - 3x - 10 = 0
To solve for x, we can use the quadratic formula:
x = (-b ± sqrt(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.
In this case, a = 1, b = -3, and c = -10.
x = (-(-3) ± sqrt((-3)² - 4(1)(-10))) / 2(1)
x = (3 ± sqrt(49)) / 2
x = (3 ± 7) / 2
So the two zeros of the function g(x) are x = 5 and x = -2.
Therefore, the correct answer is A: The zeros are 5 and -2, because the factors are (x - 5) and (x + 2).