Question

I need help remembering the steps to solve a polynomial equation

Answer 1

Example 1 – Solve: 3x3 = 12x

Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.

 3x^3-12=0

Step 2: Use a factoring strategies to factor the problem.

 3x(x^2-4)=0
3x(x+2)(x-2)=0

Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.

 3x=0 or x+2=0 or x-2=0

Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.

 x=0 or x=-2 or x=


I hope this helped you!