What are the zeros of the function f (x) = x^2 + 2x − 24 ?

The zeros are 4 and -6

Step-by-step explanation:

f (x) = x^2 + 2x − 24

Start by factoring so the equation looks like this: f(x) = (x + _)(x - _)

When you factor, you need to find two numbers that add to the middle term and multiply to equal the last term.

Two numbers that work are -4 and 6.

-4 + 6 = 2 (so that works for the middle term) and -4 * 6 = -24 (that works for the last term)

When you put those numbers in the parentheses, it looks like this:

f(x) = (x + 6)(x - 4)

Make both equal to 0 and solve for x: x + 6 = 0, x - 4 = 0

x = -6, x = 4

a - base

b - exponent

so,