Week 6 – Perfect Square Trinomials & Solving Quadratic Equations Using Factoring

Perfect squares trinomials 

Perfect squares trinomials have one defining pattern… That’s they are perfect squares.

ex.

x^2 + 6x + 9

These are the simplest of equations because of the coefficient being one for x^2. the middle or 2nd term is the sum of two numbers that are the same like, 3. Because in these case, 3+3= 6 which is the middle term. The end or 3rd term is the product of those same numbers that were the product of the 2nd term.

ex.

(2nd and 3rd term).

6x + 9 

3+3 = 6 – The 2nd term.

3 x 3 = 9 – The 3rd term.

Solving Quadratic Equations Using Fractions. 

You can recognize that the equation is quadratic if the answer is equal to zero.

ex.

x^2 – 36x = 0

(x +6) (x – 6)=0

There are two “x” variables in this equation. So you have to solve for both.

First “X”

 

x + 6 = 0

    -6  = -6

x = -6

 Second “X”

x – 6 = 0

isolate x 

x – 6 = 0

   +6    +6

x = 6

You can solve to verify.

Verifying for  x = -6

-6^2 – 36 = 0

36 – 36 = 0

Verifying  for x = 6

6^2 – 36 = 0

36 – 36= 0