SOLUTION: factor each polynomial, if possible. if the polynomial cannot be factored, write prime. 4-28r+49r squared

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: factor each polynomial, if possible. if the polynomial cannot be factored, write prime. 4-28r+49r squared      Log On


   

Question 405384: factor each polynomial, if possible. if the polynomial cannot be factored, write prime. 4-28r+49r squared
Found 2 solutions by richard1234, josmiceli:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The roots of the polynomial are

r+=+%2828+%2B-+sqrt%28784+-+4%28196%29%29%29%2F98+=+28%2F98+=+7%2F2. Thus, the polynomial can be factored as 49%28x+-+7%2F2%29%28x+-+7%2F2%29, which is equivalent to %287x+-+2%29%287x+-+2%29.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
49r%5E2+-28r+%2B+4
I notice that if I say s+=+7r, then I can say
s%5E2+-+4s+%2B+4
This is obviously factored to
%28s+-+2%29%5E2
Now I can put it in terms of r
%287r+-+2%29%5E2
There are 2 factors, and they are both 7r+-+2