Solve the following polynomial equation

Question

x^4-x^3-6x^2=0

Answer 1

Factor out an x².

 

x²(x² - x - 6) = 0

 

 

Completely factor the left side.

 

x²(x - 3)(x + 2) = 0

 

 

By setting each factot equal to zero, our solutions are

 

x = -2

x = 3

x = 0 ----> multiplicity of 2

Answer 2

Have you tried factoring the polynomial?