If a trinomial is a perfect square, then it must be the square of a binomial.
Example:
Factorise x^{2 }+ 6x + 9.
Solution:
x^{2 }+ 6x + 9 is written as x^{2 }+ 6x + 3^{2}
\ Two of the three terms are perfect squares.
Öx^{2} = x and Ö3^{2} = 3.
Remaining terms = 2.x.3 = 2.Öx^{2}.Ö3^{2}
The remaining terms is equal to the twice the product of the square roots of
the two terms which are perfect squares.
\ x^{2 }+ 6x + 9 = x^{2 }+ 2.x.3 + 3^{2}, is
in the form of a^{2 }+ 2ab + b^{2}.
(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.
