( X + )
( X + ) = 0

X² + X + = 0 Answer

Quadratic Equation Solution

Polynomial Equation Solution

Factoring Any Polynomial Equation

APPLICATION OF LESSON LEARNED:

Example (X + 2)(X - 1.5) = 0 is equivalent to quadratic equation x² + 0.5 x - 3 = 0

(X + 2)(X - 1.5) = 0 means when the value of y is set to zero (0) you can solve the value of x as shown by the graph below. (X + 2)(X - 1.5) = y(0)
y(0) is interpreted as , you set the value of y equal to zero then solve for the value x. Then you will get a pair coordinates (-2, 0 ) and (1.5, 0 )

y(1) is interpreted as, you set the value of x equal to 1 then solve for the value y. The answer is y(1) = -1.5 . Now you will have a new coordinate point (1, -1.5) and (-1, -1.5).

y(x) can be interpreted as the generalized quadratic equation or parabolic equation meaning you can assigned any real number value for x-coordinate and you will get a corresponding y-coordinate.

y(x) is sometimes written as f(x) meaning the output value f(x) is a function of any input value of x. The lesson you learned about x-coordinate and y-coordinate is very important concept that you needed in real work application like Pi Display Dashboard, Computer Animation and Factory Automation.