$\"\"$

The trinomial expression is $\"\"$ .

The trinomial compare to general trinomial expression: $\"\"$ , So a = 30, b = $\"\"$ 25, c = $\"\"$ 30.

To find two numbers with a sum of $\"\"$ 25 and a product of $\"\"$ .

This trinomial list of the factors of $\"\"$ 900, and look for the pair of factors is a sum of $\"\"$ 25.

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

Factors of

\"\"

Sum of factor

$\"\"$ 3, 300

30, $\"\"$ 30

20, $\"\"$ 45

297 \ \

0 \ \

$\"\"$ 25

The correct factors are 20 and $\"\"$ 45. $\"\"$

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 $\"\"$ .