Factor 4n 2 - 5n - 6.
(4n - 3)(n + 2)
(4n + 3)(n - 2)
(4n + 2)(n - 3)

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- anonymous

Factor 4n 2 - 5n - 6.
(4n - 3)(n + 2)
(4n + 3)(n - 2)
(4n + 2)(n - 3)

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- anonymous

What do you think the correct answer is? :)

- anonymous

you again lol

- anonymous

:) What is your understanding of this question?

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## More answers

- anonymous

i think it is the first one

- anonymous

Okay. Let's see if you're correct:

- anonymous

Trying to factor by splitting the middle term
Factoring 4n^2-5n-6
The first term is, 4n2 its coefficient is 4 .
The middle term is, -5n its coefficient is -5 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 4 • -6 = -24

- anonymous

Is this clear to you so far?

- anonymous

so so

- anonymous

What isn't clear? :) I'll be happy to explain it to you.

- anonymous

ok so when you multiply the coefficient of the first term do i muliply 4 tiimes neg 6 and 4 times - 24 or just six

- anonymous

4 times negative 6.

- anonymous

We are trying to split the middle term because this is a trinomial. In trinomials, we need to do that so we can factor by grouping. Understand? :)

- anonymous

-24

- anonymous

yes

- anonymous

Great job! Remember that it will be -24x

- anonymous

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5 That's it

- anonymous

Any Q's? (:

- anonymous

could you also find the answer by taking the list and going though and distributing them

- anonymous

Yes… but you won't always have that option. Most exams these days are going more towards short answer vs. multiple choice like the EOC in FL.

- anonymous

It isn't always about taking the easy way out. You must learn the process of how to do this at least. Plus it will take about the same amount of time.

- anonymous

(4n - 3)(n + 2) 4ntimesn and 4ntimes 2 and -3timen

- anonymous

That isn't all.

- anonymous

i am taking summer school for math becouse i had a hard time during the school year

- anonymous

Please learn the process with me. Distributing is primarily used to CHECK your answer at the end.

- anonymous

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3
4n^2 - 8n + 3n - 6

- anonymous

Also.. don't be put down that you were put into summer school. It's actually better for you because you get to review the concepts at your own pace. Don't you dare be dishearted. Everyone is different and learn differently. Be confident! :)

- anonymous

Is everything I've told you so far clear?

- anonymous

Well… even though you're not here I'll just complete what I started:

- anonymous

Step-4 : Add up the first 2 terms, pulling out like factors :
4n • (n-2)
Add up the last 2 terms, pulling out common factors :
3 • (n-2)
Step-5 : Add up the four terms of step 4 :
(4n+3) • (n-2)
Which is the desired factorization

- anonymous

You were incorrect as it was the second one.

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