The document discusses factoring quadratic trinomials. It provides three examples of factoring expressions such as x^2 - 5x - 14, x^2 - 10x + 25, and x^2 + 2x - 35. Each example lists the steps to factor the expression which include finding factors of the constant term that sum to the coefficient of the middle term and then factoring the first term.

2. The polynomial x
2
+ rx + sx + rs is generally characterized
as quadratic polynomial since it has a degree of 2.

3. Example 1. Factor x2 – 5x – 14.
Steps in factoring quadratic trinomial:
a. look for the factor of the constant term which gives the sum of the
coefficient of the middle term.
Constant term = (-14) = -7 and 2
Coefficient of middle term(-5) = -7 + 2
b. Factor x
2
or the first term. = x . x
c. Write the factors obtained which is (x – 7) (x + 2).

4. Example 2. Factor x2 - 10x + 25.
Steps in factoring quadratic trinomial:
a. Look for the factor of the constant term which gives the sum of the
coefficient of x in the middle term.
constant term : (25) = -5 . -5
coefficient of x in the middle term : (-10) = (-5) + (-5)
b. Factor x
2
or the first term = x . X
c. Write the factors obtained which is (x – 5) (x – 5) .

5. Example 3. x2 + 2x – 35.
a. Look for the factor of the constant term which gives the sum of the
coefficient of x in the middle term.
constant term : (-35) = 7 . -5
coefficient of x in the middle term: (2) = (7) + (-5)
b. Factor x
2
or the middle term. = x . X
c. Copy the factors obtained which is (x + 7 (x – 5).