The trinomial expression is .
The trinomial compare to genaral trinomial expression: , So x = n, b =
3, c = 2.
To find two numbers with a sum of 3 and a product of 2.
This trinomial list of the factors of 2, and look for the pair of factors is a sum of 3.
Factors of 2 | \Sum of factors | \
\
1, 2 \ | \
\
3 \ | \
The correct factors are 1 and
2.
To factor trinomials of the form , find two integers, m and n, with a sum equal to b and a product equal to c.
Then write as (x + m)(x + n).
(Product of two different signs is negative)
Check:
\To check the solution by multiply the two factors.
\ (Using FOIL method)
(Product of two different signs is negative)
(Product of two same signs is positive)
Combine like terms using distributive property: ac + bc = (a + b)c.
\ (Add: 1 + 2 = 3)
The solution is "true".
\The solution is .