Question

x^2-5x-24 factor into two binomonials

Answer 1

@undeadknight26

Answer 2

@Zedditup

Answer 3

In order to do this you want to get two factors of -24 that will equal to -5. What two factors of -24 equal -5?

Answer 4

hmm its 1 because they have no other common factor :/

Answer 5

For example factors of 6 are 3 and 2, 1 and 6, -3 and 2, and -1 and 6

Answer 6

When they are multiplied they equal 6.

Answer 7

Step 1: Find multiples for -24.
Step 2: (After getting a few), add together these numbers and see which one gets you -5
Step 3: Use those two numbers that get -5 that multiply to -24

Your numbers should be -8 and 3.

Step 4: Apply these to your x.

(x-8) (x+3) ---> also roots

If you wanted to find the zeroes as well, you would make them both equal to zero. For example, (x-8) would be x-8=0. Do simple math, and your zero is 8.

For now, though, refer to roots.

((I believe I did this right, but the question could be asking something different. We never referred to them as separate binomials in Alg 2, unless what the question is asking is different than what I'm thinking))

Answer 8

ik but 24 and 5 only have -1 in common

Answer 9

So 6 and 4 multiplied equal 24 right?

Answer 10

Yes they do

Answer 11

Okay added up what do they equal?

Answer 12

6 and 4?

Answer 13

10

Answer 14

Good that doesn't equal -5. But what about 8 and 3? That would equal 11, however what if we did -8 and 3? Try adding -8 and 3 what do you get?

Answer 15

ok its negative 5 so -5

Answer 16

yes so now you take those factors and make it into a binomial. So (x-8)(x+3). Now check your work. And multiply the binomials

Answer 17

What do you get when you multiply (x-8) and (x+3)?

Answer 18

(x-5)?

Answer 19

No. what is x*x? or x^(1+1)?

Answer 20

Oh yeah X is always 1

Answer 21

What???? No x multiplied by x is x^2

Answer 22

Oh ok.....

Answer 23

Now what is 3 times x?

Answer 24

@DarkMoonZ

Answer 25

its 3x

Answer 26

Good job. Now what is -8 times x?

Answer 27

-8x

Answer 28

Good job. Finally, what is -8 times 3?

Answer 29

-24

Answer 30

Good so now that we have FOILed we will add the answers up so
x^2 + 3x - 8x -24
Combine like terms. 3x - 8x is -5x
x^2 - 5x -24

Does that look like the original problem?

Answer 31

Yes a little bit

Answer 32

A lot of bit because that is what is asking you to factor so we said the answer before and checked it so what is your factored binomial we checked?

Answer 33

x^2 + 3x - 8x -24

Answer 34

No that is not the binomial. That is what the binomial equals, come on we just said it (x-8)(x+3).

So your final answer is (x-8)(x+3). The reason we checked it to see if it was like the question is to ensure accuracy. Hope this helped!

Answer 35

Oh ok thanks you very much

Answer 36

No problem have a great day!

Answer 37

If you need anymore help just tag me.

Answer 38

ok :P