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

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) (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:

.

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:

Multiply them out and see which one works.

John

My calculator said it, I believe it, that settles it

The Out Campaign: Scarlet Letter of Atheism

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