Question

Write the quadratic equation in factored form. Be sure to write the entire equation.

x2 - 5x - 24 = 0

Answer 1

Hint:

Find two numbers that multiply to -24 (the last number) and add to -5 (the middle coefficient)

Answer 2

do i need to find the GCF of -24

Answer 3

no, list all the ways to multiply to -24

1*(-24) = -24
2*(-12) = -24
3*(-8) = -24
4*(-6) = -24
(-1)*(24) = -24
(-2)*(12) = -24
(-3)*(8) = -24
(-4)*(6) = -24


Which of these numbers also add to -5 ?

Answer 4

so I just pick which one i want to use and add -5 to it

Answer 5

no, of that list, which two numbers add to -5 ?

Ex: 1 and -24 multiply to -24, but they do NOT add to -5

Answer 6

so I got

3*(-8) = -24

Answer 7

good, 3 + (-8) = -5

Answer 8

So

x^2 - 5x - 24 = 0

factors to

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

Answer 9

Thank you

Answer 10

np