SOLUTION: I'm having a real hard time with factoring. This stuff just is not clicking. Can you please help me? Here is my problem: 25t2 the 2 beside t is squared. 25t2+10t+1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I'm having a real hard time with factoring. This stuff just is not clicking. Can you please help me? Here is my problem: 25t2 the 2 beside t is squared. 25t2+10t+1      Log On


   



Question 575714: I'm having a real hard time with factoring. This stuff just is not clicking. Can you please help me?
Here is my problem:
25t2 the 2 beside t is squared.
25t2+10t+1

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Remember using FOIL to multiply two binomials?

The high order term in your product is always the product of the two first terms in the two binomials. So, how many ways are there to make ?

There are only two ways to do it: or .

Likewise, the constant term in your trinomial is the product of the two 2nd terms in the two binomials. How many ways are there to make 1 as a product of two integers? Just 1, namely 1 times 1.

So there are really only two possibilities for the factorization of



Either:



or



Multiply them out and see which one works.

John

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