Question 486733: to factor an equation of to forrm 24^2p-55p-24=0, find a pair of integers whose product is AC and addds up to B
Answer by MathLover1(20849)   (Show Source):
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factor an equation of to form  ,
.......replace  with the 
 .....group
find a pair of integers whose product is  and adds up to 
"Each of the trinomials is the form  "
In this example,  ,  , and  . We must find two integers whose product is  , or  , and whose sum is  .
If the problem is too difficult to yield readily to inspection, we can find the prime factors of | , or  and divide them into two piles. The prime factors of are
2*2*2*2*2*2*3*3=2^6 * 3^2
which can be found easily by factoring |a| and |c| separately and combining the result.
let’s try these:2^6 * 3^2
This adds to  , which has an absolute value greater than the required  .
let’s try these:2^5(2 * 3^2)
let’s try these:2^4(2^2 * 3^2)
let’s try these:2^3(2^3 * 3^2)
let’s try these:2^2*3(2^4 * 3)
let’s try these:2*3(2^5 * 3)
Therefore, no pair of integers can satisfy the necessary requirements.
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