Question

Solve the following polynomial equation 1. x^5+4x^3=5x^4-2x3

Answer 1

Step 1 :

In this question, we are meant to solve the following polynomial:

`x^{5\text{ }}+4x^{3^{}\text{ }}=5x^4-2x^3`

Step 2 :

We have that:

`\begin{gathered} x^5-5x^4+4x^{3\text{ }}+2x^3\text{ = 0 } \\ x^3(x^{2\text{ }}\text{ - 5 x + 6 ) = 0} \\ x^3\text{ ( x - 2 ) ( x - 3 ) = 0} \end{gathered}`

Step 3:

`\begin{gathered} \text{Solving, we have that:} \\ x\text{ = 0 ( thrice)} \\ x\text{ = 2} \\ x\text{ = 3} \end{gathered}`