The trinomial expression is .

The trinomial compare to general trinomial expression: , So x = d, b = 7, c = 10.

To find two numbers with a sum of 7 and a product of 10.

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

The correct factors are 5 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 sings is negative)

Check:

To check the solution by multiply the two factors.

  (Using FOIL method)

    (Product of two different sings is negative)

                  (Product of two same sings is positive)

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

The solution is "true".

The solution is .