$\"\"$

The trinomial expression is $\"\"$ .

Compare to genaral trinomial expression: $\"\"$ , So x = t, a = 2, b = $\"\"$ 11, c = 7.

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 $\"\"$ .