Mistake in naming quadratic equation?

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cubic equation:

$$ax^3+bx^2+cx+d=0$$

Cube means 3.

Quadratic equation:

$$ax^2+bx+c=0$$

Quad means 4. But it is a power of two, should it be called bi... Equation.

My question is: Is this a mistake in naming the quadratic equation?

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A fourth degree polynomial is called a quartic polynomial.

Quadratic is derived from the Latin word quadratus, the past participle of quadrare, an infinitive meaning to make square.