The trinomial expression is .
The trinomial compare to genaral trinomial expression: , So a = 2, b = 13, c = 20.
To find two numbers with a sum of 13 and a product of .
This trinomial list of the factors of 40, and look for the pair of factors is a sum of 13.
\Factors of 40 | \Sum of factors | \
\
1, 40 \2, 20 \4, 10 \5, 8 \ | \
\
41 \22 \14 \13 \ | \
The correct factors are 5 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)
Multiply: .
Combine like terms using distributive property: ac + bc = (a + b)c.
\ (Add: 8 + 5 = 13)
The solution is "true".
The solution is .