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

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) (Show Source): You can put this solution on YOUR website!
Let's try the following.
Factor:

The factors, if this can be factored, will take the form:
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:

Check, using FOIL:
Simplify:

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