Find the binomial factors for the following trinomial 4n^2 + 28n + 49?

2. Find the binomial factors for the following trinomial 5y^2 - 2y - 3


3. Find the binomial factors for the following trinomial 36x^2 + 60x + 25


4. Find the binomial factors for the following trinomial 7k^2 - 9k - 10


5. Find the binomial factors for the following trinomial 9y^2 - 12y + 4


Thanks.

Find the binomial factors for the following trinomial 4n^2 + 28n + 49?
1. (2n + 7)(2n + 7)


2. (5y + 3)(y - 1)


3. (6x + 5)(5x + 5)


4. (7k + 5)(k - 2)


5. (3y - 2)(3y - 2)





Honestly the way I do these is guess and check. Ideally you are looking at factors of the first and third terms that you manipulate to add to the middle terms.


The second one is a very easy one to explain: first look at the first term: 5. well since 5 is prime, the only factors are 5 and 1, so we can set up our factors like this:


(5y + ?)(1y + ?)


Now we look at the third term: 3 - which is also prime so we know 3 and 1 will fill in our ?'s above:


(5y + 3)(y + 1).


We know that isnt going to work b/c we have a -3 so we'll change a sign and rewrite:


(5y - 3)(y + 1)


Check: = 5y^2 -2y - 3.


Done.





You do this for all. Of course, some will have more than one possibility considering they have more factors - such as the first problem with 4: could be 4 and 1 or 2 and 2.. I just play around and see what works..
Reply:1. (2n+7)(2n+7)


2. (5y+3)(y-1)


3. (6x+5)(6x+5)


4. (7k+5)(k-2)


5. (3y-2)(3y-2)