First put the polynomial in standard form (descending order of exponents):
2a^2 + 3a + 1
now factor the first coefficient (2):
2 * 1
Put these factors inside parenthesis:
(2a )(a )
Now, factor the last term (1):
1 * 1
These factors will now go inside the parenthesis:
(2a 1)(a 1)
You will end up multiplying the factors, and adding them
together to get the single order term (3a), the resulting sum must equal that
factor. Since the single order term (3a) is positive, the factors, when added
together must be positive.
So, 2a * 1 = 2a, a * 1 = a, Adding the results together, 2a + a = 3a
So, Both factors must be positive:
(2a + 1)(a + 1) = 2a^2 + 2a + a + 1,
combining like terms:
2a^2 + 3a + 1
9/7/2013

Brian M.
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