SOLUTION: how do I factor this x^2+25x+24

Question 82727: how do I factor this x^2+25x+24
Found 3 solutions by checkley75, stanbon, rapaljer:
Answer by checkley75(3666)   (Show Source): You can put this solution on YOUR website!
X^2+25X+24 YOU NEED TO FIND 2 FACTORS OF 24 THAT ADD UP TO 25 (BOTH b & c TERMS ARE POSITIVE):
FACTORS FOR 24 ARE 1&24,2&12,3&8,4&6. THE ONLY SET THAT ADDS UP TO 25 ARE 1&24.
THEREFORE THE SOLUTION IS:
(X+24)(X+1)

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
how do I factor this x^2+25x+24
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=(x+24)(x+1)
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Cheers,
Stan H.
Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!

A trinomial like this usually factors into the product of two binomials. The trick is to find two numbers whose product is the last number (in this case 24!) and whose sum (or difference!) is the middle number (in this case 25!). The answer to these questions is 24 times 1, so the answer is

For more help on this topic, see my Lesson Plans on Factoring Trinomials in algebra.com, or visit my own website by clicking on my tutor name "rapaljer" anywhere in algebra.com, look for "MATH IN LIVING COLOR", then look for topics relating to "Factoring", which would be in Chapter 2 of Basic Algebra, or Chapter 2 of Intermediate Algebra.

R^2 at SCC
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