anonymous
  • anonymous
x^2-5x-24 factor into two binomonials
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@undeadknight26
anonymous
  • anonymous
@Zedditup
anonymous
  • anonymous
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?

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anonymous
  • anonymous
hmm its 1 because they have no other common factor :/
anonymous
  • anonymous
For example factors of 6 are 3 and 2, 1 and 6, -3 and 2, and -1 and 6
anonymous
  • anonymous
When they are multiplied they equal 6.
anonymous
  • anonymous
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))
anonymous
  • anonymous
ik but 24 and 5 only have -1 in common
anonymous
  • anonymous
So 6 and 4 multiplied equal 24 right?
anonymous
  • anonymous
Yes they do
anonymous
  • anonymous
Okay added up what do they equal?
anonymous
  • anonymous
6 and 4?
anonymous
  • anonymous
10
anonymous
  • anonymous
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?
anonymous
  • anonymous
ok its negative 5 so -5
anonymous
  • anonymous
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
anonymous
  • anonymous
What do you get when you multiply (x-8) and (x+3)?
anonymous
  • anonymous
(x-5)?
anonymous
  • anonymous
No. what is x*x? or x^(1+1)?
anonymous
  • anonymous
Oh yeah X is always 1
anonymous
  • anonymous
What???? No x multiplied by x is x^2
anonymous
  • anonymous
Oh ok.....
anonymous
  • anonymous
Now what is 3 times x?
anonymous
  • anonymous
@DarkMoonZ
anonymous
  • anonymous
its 3x
anonymous
  • anonymous
Good job. Now what is -8 times x?
anonymous
  • anonymous
-8x
anonymous
  • anonymous
Good job. Finally, what is -8 times 3?
anonymous
  • anonymous
-24
anonymous
  • anonymous
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?
anonymous
  • anonymous
Yes a little bit
anonymous
  • anonymous
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?
anonymous
  • anonymous
x^2 + 3x - 8x -24
anonymous
  • anonymous
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!
anonymous
  • anonymous
Oh ok thanks you very much
anonymous
  • anonymous
No problem have a great day!
anonymous
  • anonymous
If you need anymore help just tag me.
anonymous
  • anonymous
ok :P

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