SOLUTION: Factor: 2p^2-9p+10. Please explain.

Question 291699: Factor: 2p^2-9p+10. Please explain.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Look for a solution that looks like,

If we work out the left hand side using FOIL,

Compare coefficients of , and the constant.
No information.
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Now look for possible values of a and b that solve both equations.
a=10, b=1
a=5, b=2
a=2, b=5
a=1, b=10
Try those until one works.
All of them solve

Now solve

Obviously a or b cannot equal 10 since the left hand side would be greater than the right hand side.
If we let b=2 and a=5 then

That's the pair.

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