Question

x²+2x-24 factorization please solve this question I make your answer brainlist and like and follow and 10 answer like.
but answer is correct
and method is factorization.
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Answer 1

Step-by-step explanation:

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TRINOMIALS

Patricia E. asked • 06/22/15

x^2+2x-24 =

whats the complete factoring of the trinomial?

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Steve C. answered • 06/22/15

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To factor this trinomial, first note the leading coefficient is 1 and the constant term is -24. Now your job is to find two factors of -24 (one must be negative and one must be positive) which add to the coefficient of the linear term (2). Make note that the coefficient of the linear term is positive - this tells you that the factor 0f -24 which is positive must be the one which is larger in magnitude. With all of this information you can start making a list of pairs of factors of -24 (only list those where the positive factor is larger in magnitude.

24 x -1

12 x -2

8 x -3

6 x -4

stop here - these are all the factors of -24 where the positive factor is larger in magnitude.

Now add the factors:

24 + -1 = 23

12 - 2 = 10

8 - 3 = 5

6 - 4 = 2 Found them!

Now, to make this process go a little faster you could note that the linear term coefficient being 2 indicates that the factors must be close together. If you are good at testing the factors in your head, you would quickly see that 6 and -4 are the factors you want. Otherwise you might start at 8 x -3 and work down to 6 x -4.

Now the monomial factors are (x+6)(x-4)

long answer to an easy problem, but it shows the logic you should use to solve such problems.