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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.
Polynomials can be classified based on the number of terms they contain. A polynomial with one term is called a monomial, such as 5x or -2y^2. A polynomial with two terms is called a binomial, like 3x + 2 or 4y - 7. A polynomial with three terms is called a trinomial, for example, 2x^2 + 5x - 3. Polynomials with more than three terms are simply referred to as polynomials.
Quadratic curves only have two solutions when the discrimant is greater than or equal to zero.
2st4 + s2t2 - 9s5t + 21 The degree of a polynomial with more than one variable is the largest sum of the powers in any single term. So the degree of the given polynomial is 6 (-9s5t1; 5 + 1).
The degree of a polynomial is just the highest power present. So, look at which power each term is raised to, and whichever one is biggest is the degree of the polynomial. The degree of 5x^2+3x+6 would be two. If you've got more than one variable, like 3x^2y^5+2xy^2, the degree of the first term would be 2+5=7 and the degree of the second term would be 1+2=3, so the degree of the polynomial is 7.