$\"\"$

The trinomial expression is $\"\"$ .

The trinomial compare to general trinomial expression: $\"\"$ , So a = 2, b = $\"\"$ 11, c = 7.

To find two numbers with a sum of $\"\"$ 11 and a product of $\"\"$ .

This trinomial list of the factors of 14, and look for the pair of factors is a sum of $\"\"$ 11.

\ \ \ \ \ \ \ \ \ \ \ \

Factors of 14

Sum of factors

$\"\"$ 2, $\"\"$ 7

2, $\"\"$ 7

6, 2

2, 6

$\"\"$ 9

$\"\"$ 5

The correct factors are 2 and 6. $\"\"$

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 $\"\"$ .