$\"\"$

The trinomial expression is $\"\"$ .

The trinomial compare to general trinomial expression: $\"\"$ , So a = 2, b = 7, c = 5.

To find two numbers with a sum of 7 and a product of $\"\"$ .

This trinomial list of the factors of 10, and look for the pair of factors is a sum of 7.

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

Factors of 10

Sum of factor

10, 1 \ \

2, 5

11 \ \

The correct factors are 2 and 5. $\"\"$

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 $\"\"$ .