#### Answer

4

#### Work Step by Step

We show that this is a polynomial:
$$x^2x^2+x^2\left(-2x\right)+x^2\left(-3\right)+\left(-4\right)x^2+\left(-4\right)\left(-2x\right)+\left(-4\right)\left(-3\right) \\ x^4-2x^3-7x^2+8x+12$$
The degree of the given polynomial is 4.