Respuesta :
Answer:
1) Simplify each side (if needed)
2) Write the equation in Standard Form
3) Factor
4) Zero-Product Principle
Step-by-step explanation:
1) Simplify: Try and simplify the equation if possible
2) Get the equation in standard form
Example-
x^3 - 4x - 8= -2x^2
x^3 +2x^2-4x -8 = 0
3) Factor (by grouping)
Example-
x^3 +2x^2 -4x -8 = 0
x^2(x+2) -4(x+2) = 0
(group together the coefficients)
(x+2)(x^2-4)
(x+2)(x+2)(x-2)
4) Zero-Product Principle: Set each factor group equal to zero
Example-
x+2=0
x=-2
x-2=0
x=2
Side Note: If the question is a quadratic, you can always solve by doing the quadratic formula.
The four steps for solving a polynomial equation are first to simplify the given equation, covert the equation in the generalized formate, factorize the polynomial equation, and then apply the zero product principle.
In order to determine the four steps for solving a polynomial equation, consider an example that is:
[tex]x^2+2x+3x+22=16[/tex]
The following steps can be used in order to evaluate the above polynomial equation:
Step 1 - Simplify the given equation.
[tex]x^2+5x=-6[/tex]
Step 2 - Covert the equation in the generalized formate.
[tex]x^2+5x+6=0[/tex]
Step 3 - Now, factorize the polynomial equation.
[tex]x^2+3x+2x+6=0[/tex]
[tex]x(x+3)+2(x+3)=0[/tex]
(x + 2)(x + 3) = 0
Step 4 - Now, apply the zero product principle.
x + 2 = 0
x = -2
x + 3 = 0
x = -3
For more information, refer to the link given below:
https://brainly.com/question/11897796
