The trinomial expression is .
The trinomial compare to general trinomial expression: , So a = 2, b = 14, c = 24.
To find two numbers with a sum of 14 and a product of .
This trinomial list of the factors of 48, and look for the pair of factors is a sum of 14.
\Factors of 40 | \Sum of factors | \
\
4, 12 \2, 24 \6, 8 \ | \
\
16 \26 \ \ \14 \ | \
The correct factors are 6 and 8.
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 .
Group terms with common factors.
\Combine like terms using distributive property: ac + bc = (a + b)c.
\
Check:
\To check the solution by multiply the two factors.
\ (Using FOIL method)
Combine like terms using distributive property: ac + bc = (a + b)c.
\The solution is "true".
The solution is .