No. "Quadratic" means degree of 2.
That means that you divide one polynomial by another polynomial. Basically, if you have polynomials "A" and "B", you look for a polynomial "C" and a remainder "R", such that: B x C + R = A ... such that the remainder has a lower degree than polynomial "B", the polynomial by which you are dividing. For example, if you divide by a polynomial of degree 3, the remainder must be of degree 2 or less.
The quadratic formula can be used to find the solutions of a quadratic equation - not a linear or cubic, or non-polynomial equation. The quadratic formula will always provide the solutions to a quadratic equation - whether the solutions are rational, real or complex numbers.
There are infinitely many options. The equation could be a polynomial of degree greater than 1, or it could be a power function, a log function or any combination of these with trig functions. The problem is exacerbated by the fact that there is no clue in the question as to what a stands for.
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.
No. "Quadratic" means degree of 2.
No.
more than one variable
The degree of a polynomial is the highest exponent in the polynomial.
7x2 - 5x + 4 is not a monomial because it has more than one term. It is a quadratic polynomial.
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.
That means that you divide one polynomial by another polynomial. Basically, if you have polynomials "A" and "B", you look for a polynomial "C" and a remainder "R", such that: B x C + R = A ... such that the remainder has a lower degree than polynomial "B", the polynomial by which you are dividing. For example, if you divide by a polynomial of degree 3, the remainder must be of degree 2 or less.
Only when the discriminant of the quadratic expression is equal to or greater than zero
The quadratic formula can be used to find the solutions of a quadratic equation - not a linear or cubic, or non-polynomial equation. The quadratic formula will always provide the solutions to a quadratic equation - whether the solutions are rational, real or complex numbers.
The degree of a polynomial is the highest power that appears in the polynomial. For more than one variable, you must add the powers for each variable, for example, a3b2 is of degree 3 + 2 = 5.
Strictly we do not classify polynomials by the number of terms but by the highest power of the variable (its degree).For example, if x is the variable then a polynomial with highest power...... x0 (degree 0) is a constant e.g. 4x0 = 4... x1 (degree 1) is linear e.g. 2x1 + 5 = 2x + 5... x2 (degree 2) is a quadratic e.g. 3x2 - 2x + 1... x3 (degree 3) is a cubic e.g. 2x3 - 3x2 - 2x + 1... x4 (degree 4) is a quartic e.g. 7x4 + 2x3 - 3x2 - 2x + 1(degree 5) quintic, (degree 6) sextic, (degree 7) septic, (degree 8) octic,...Although it appears as if the degree of a polynomial is always one less than the number of terms, in general this not the case. For example, x3 - 9 is cubic with only 2 terms or 4x8 is an octic with only one term.
Quadratic curves only have two solutions when the discrimant is greater than or equal to zero.