Question

Is x^2-4x+24 factorable?

Answer 1

Any quadratic is factorable

Answer 2

Even if the book says it isn't

Answer 3

Ok thanks what does it factor to then?

Answer 4

hero go on chat

Answer 5

That would probably take a bit of work to factor but you have to find two numbers a*c and then those same two numbers would add up to b = -4

Answer 6

To help, a*c = 1*24 = 24

Answer 7

a is given as 1, what would i do knowing that?

Answer 8

a = (b/2+d)
c = (b/2-d)

Answer 9

knowing all of that....we can do this:

b = a+c = (b/2+d)+(b/2-d)

Answer 10

In other words....

Answer 11

We can multiply that out to find d

Answer 12

Ok thank you so much!

Answer 13

I'm not done yet

Answer 14

basically, we know that d will equal + or - 4

Answer 15

so....

Answer 16

I just lost my train of thought

Answer 17

24 = (-4/2+d)(-4/2-d)

Answer 18

That's the right equation

Answer 19

Well, the solution is complex, so I guess they consider than unfactorable