SOLUTION: how do i factor 6p^2+5p+1?

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Question 381499: how do i factor 6p^2+5p+1?
Found 2 solutions by Jk22, ewatrrr:
Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 6x%5E2%2B5x%2B1+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%285%29%5E2-4%2A6%2A1=1.

Discriminant d=1 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-5%2B-sqrt%28+1+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%285%29%2Bsqrt%28+1+%29%29%2F2%5C6+=+-0.333333333333333
x%5B2%5D+=+%28-%285%29-sqrt%28+1+%29%29%2F2%5C6+=+-0.5

Quadratic expression 6x%5E2%2B5x%2B1 can be factored:
6x%5E2%2B5x%2B1+=+6%28x--0.333333333333333%29%2A%28x--0.5%29
Again, the answer is: -0.333333333333333, -0.5. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+6%2Ax%5E2%2B5%2Ax%2B1+%29

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

factoring 

 6p^2+5p+1

 (3p + 1)(2p + 1)

Note:SUM of the inner product(2p) and the outer product(3p) = 5p