\"\"

\

The trinomial expression is \"\".

\

The trinomial compare to general trinomial expression: \"\", So a = 4, b = \"\"4, c = \"\"35.

\

To find two numbers with a sum of \"\"4 and a product of \"\".

\

This trinomial list of the factors of \"\"140, and look for the pair of factors is a sum of \"\"4.

\ \ \ \ \ \ \ \ \ \ \ \
Factors of \"\"140Sum of factors
\

2, \"\"70

\

\"\"7, 20

\

10,\"\"14

\
\

\"\"68

\

13      \ \

\

\"\"4

\
\

The correct factors are 10 and \"\"14.\"\"

\

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)

\

Product of two different sings is negative.

\

\"\"

\

Combine like terms using distributive property: ac + bc = (a + b)c.

\

\"\"

\

\"\"

\

The solution is "true".\"\"

\

The solution is \"\".