SOLUTION: 10y^2+9y+2 i cannot find anyone to help me with this whole problem factoring polynomials can ;you help me p;ease? thanks

Algebra ->  Expressions-with-variables -> SOLUTION: 10y^2+9y+2 i cannot find anyone to help me with this whole problem factoring polynomials can ;you help me p;ease? thanks      Log On


   

Question 71157This question is from textbook algebra
: 10y^2+9y+2 i cannot find anyone to help me with this whole problem factoring polynomials can ;you help me p;ease? thanks This question is from textbook algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let's try the following.
Factor:
10y%5E2%2B9y%2B2
The factors, if this can be factored, will take the form:
%28ay%2Bm%29%28by%2Bn%29 where:
a*b = 10 This is the coefficient of the first term.
m*n = 2 This is the constant term.
a*n+b*m = 9 This is the coefficient of the middle term.
Now you have to try a few combinations.
Try a = 5 and b = 2, so a*b = 10
Try m = 2 and n = 1, so m*n = 2
Then: an+bm = 5*1 + 2*2 = 5+4 = 9
Putting it all together, you'll get:
10y%5E2%2B9y%2B2+=+%285y%2B2%29%282y%2B1%29
Check, using FOIL:
%285y%2B2%29%282y%2B1%29+=+10y%5E2%2B5y%2B4y%2B2 Simplify: 10y%5E2%2B9y%2B2