**Higher degree equations**

A higher degree equation is an equation with terms greater than a degree of 2.

### 3rd degree equations

**Example 1**

Solve the third degree equation

Let us take a common factor, in which case we get one zero point *x = 0* with zero-product property and a quadratic equation, from which the remaining solutions x = -1 and x = 2 are obtained.

**Example 2**

Solve the third degree equation

Now it is not possible to take a common factor from all the terms. So we use grouping.

The equation has only one solution x = 2, since the quadratic factor has no zeros.

If the equation cannot be modified into a factor form and it is not a power equation, we do not have the tools to solve the equation. Of course, calculators and calculator software can solve all of these equations.

### Fourth degree equation

**Example 3**

Solve the fourth degree equation

We substitute

into equation

Now we substitute back

There are four solutions to the equation.* x = -2, x = -1, x = 1* and* x = 2*

**Turn on the subtitles if needed**