|If a trinomial is a perfect square, then it must be the square of a binomial.|
Factorise x2 + 6x + 9.
x2 + 6x + 9 is written as x2 + 6x + 32
\ Two of the three terms are perfect squares.
Öx2 = x and Ö32 = 3.
Remaining terms = 2.x.3 = 2.Öx2.Ö32
The remaining terms is equal to the twice the product of the square roots of
the two terms which are perfect squares.
\ x2 + 6x + 9 = x2 + 2.x.3 + 32, is
in the form of a2 + 2ab + b2.
(x+3)2 = (x+3)(x+3)
\ The factors of given trinomial are (x+3), (x+3)
Directions: Find the factors of given
trinomials and show your work. Also write at least ten examples of your own.