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A quadratic polynomial has a degree greater than 2?
true :) apex! * * * * * APEX gets it wrong - again! A quadratic polynomial has degree 2. Not greater than, nor less than but exactly equal to 2.
What is polynomial division?
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.
What statement must be true of an equation before you can use the quadratic formula to find the solutions?
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.
What is the equation of a nonlinear graph if a is greater than 5?
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.
What is a polynomial 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.
Does a quadratic polynomial has a degree greater than 2?
No.
A quadratic polynomial has a degree greater than 2?
true :) apex! * * * * * APEX gets it wrong - again! A quadratic polynomial has degree 2. Not greater than, nor less than but exactly equal to 2.
Is a polynomial of degree zero is a constant term true or false?
True. A polynomial of degree zero is defined as a polynomial where the highest degree term has a degree of zero. This means that the polynomial is a constant term, as it does not contain any variables raised to a power greater than zero. Therefore, a polynomial of degree zero is indeed a constant term.
A polynomial is considered to be quadratic if it contains what?
more than one variable
What is the degree of a polynomial having more than 1 term but with different variables?
The degree of a polynomial is the highest exponent in the polynomial.
Is 7x4-5x 4 quadratic monomial?
7x2 - 5x + 4 is not a monomial because it has more than one term. It is a quadratic polynomial.
What are quadratic polynomial quartic polynomial constant polynomial and quintic 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.
What is polynomial division?
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.
Can all quadratic expressions be factorised?
Only when the discriminant of the quadratic expression is equal to or greater than zero
What statement must be true of an equation before you can use the quadratic formula to find the solutions?
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.
Classification of polynomial according to the number of terms?
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.
How do you determine the degrees of a given polynomial?
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.
