Write the quadratic equation in factored form. be sure to write the entire equation. x2 - 5x - 24 = 0

x² - 5x - 24 = 0

First, we have to solve the quadratic equation and find the two values of x that fit the equation.

There are two values of x that fit:

x₁ = (5+11)/2 = 16/2 = 8

x₂ = (5-11)/2 = -6/2 = -3

Now I can restate the original equation in terms of a product of factors, with this product being equal to zero:

(x - x₁) * (x - x₂) = 0

ANSWER (x-8) * (x+3) = 0

Now I can solve each factor by setting each one equal to zero and solving the resulting linear equations:

x - 8 = 0 or x + 3 = 0

x = 8 or x = -3

We can check that these two values are the solution to the original quadratic equation.

x² - 5x - 24 = 0

First value

8² -5*8 -24 = 0

64 - 40 -24 = 0

0 = 0 ¡Checked!

Second value

(-3)² -5(-3) -24 = 0

9 + 15 -24 = 0

0 = 0 ¡Checked!

Hope this helps!

the answer would be c:   ax + b = ax + c

step-by-step explanation: