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Q: What is a polynomial equation containing a variable to the second power?

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A quadratic equation.

A polynomial is an equation with more than 1 term. A term could be a constant, or a power of a variable (denoted by a letter, like x) times a constant. The order of the polynomial is determined by the highest power of the variable.A quadratic is a second order polynomial, because the highest power of x is x2.A first order polynomial has x1 (which is just x) as the highest power.

The polynomial equation is x2 - x - 1 = 0.

A biquadratic is a polynomial which involves only the second and fourth powers of a variable.

An equation of the second degree, meaning it contains at least one term that is squared.

-8x2 - 2x + 8 this is a quadratic equation or a second order polynomial it is a second order polynomial because it has a term in x2 For every polynomial we name it according to the highest power term in the equation.......

Those words refer to the degree, or highest exponent that modifies a variable, or the polynomial.Constant=No variables in the polynomialLinear=Variable raised to the first powerQuadratic=Variable raised to the second power (or "squared")Cubic=Variable raised to the third power (or "cubed")Quartic=Variable raised to the fourth powerQuintic=Variable raised to the fifth powerAnything higher than that is known as a "6th-degree" polynomial, or "21st-degree" polynomial. It all depends on the highest exponent in the polynomial. Remember, exponents modifying a constant (normal number) do not count.

The highest power of the variable is 2, so it is a second degree polynomial.

(x,y) or (variable that cones first in the alphabet, variable that comes second in the alphabet)

True Yes. Although the term 'quad' stands for four, a quadratic equation is a polynomial of second degree.

Yes.

Yes.

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