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

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

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step-by-step explanation:

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