25c^2+10c+1

25c^2+10c+1

Answers
I have to factor the polynomial
hogan123
17 February 2013
There's no easy way to hint atthe answer here without actually doing it. The factors are going to be (ac+b)(dc+e) where a,b,d,e are numbers. In this case a,b,d,e are integers. You have to work out what will fit. The product of b and e has to be 1. The product of a and d has to be 25. There are only two possibilities to try out. Good luck.
ianmoth
18 February 2013
I will get you started...
heretohelp1995
19 February 2013
Factor by splitting the middle term.
heretohelp1995
19 February 2013
25c^2+10c+1 we need two numbers to multiply to give 25 and the same two when added they give 10, there is only one combination 5 and 5 next we split the middle term so we get... 25c^2+5c+5c+1 now we factor each side in turn. If you need any more help in factoring or anything else just get in touch.
heretohelp1995
19 February 2013
It factors into double brackets. The numbers at the end multiply to make + 1 and you don't have a lot of choice, they will be 1 and 1. Splitting the middle is a good idea into two numbers that add to make 10, 5 and 5 being a very good idea. This gives 25c^2 + 5c + 5c + 1. Factorise the first two terms to give 5c(5c + 1) + 5c + 1. Factor this by taking 5c + 1 out of the first bracket and out of the last two terms and you get (5c + 1)(5c + 1) which can be written as (5c + 1)^2
becoach
20 February 2013
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