SOLUTION: 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

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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): You can put this solution on YOUR website!

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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