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Is a quadratic polynomial a second-degree polynomial?
Yes.
What is the relationship between the degree of a polynomial and the number of roots it has?
In answering this question it is important that the roots are counted along with their multiplicity. Thus a double root is counted as two roots, and so on. The degree of a polynomial is exactly the same as the number of roots that it has in the complex field. If the polynomial has real coefficients, then a polynomial with an odd degree has an odd number of roots up to the degree, while a polynomial of even degree has an even number of roots up to the degree. The difference between the degree and the number of roots is the number of complex roots which come as complex conjugate pairs.
At most how many unique roots will a fourth degree polynomial have?
4, the same as the degree of the polynomial.
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.
What is a rational equation or rational function?
It is any function which can be written as the ratio of two polynomial functions.
What is a polynomial equation of degree two called?
quadratic
Are there only 3 degree's in a polynomial equation?
No. A polynomial can have as many degrees as you like.
How do you do a parabola?
A parabola is a graph of a 2nd degree polynomial function. Two graph a parabola, you must factor the polynomial equation and solve for the roots and the vertex. If factoring doesn't work, use the quadratic equation.
Is -4 a polynomial?
is -4 a polynomial? This depends on what you accept as a definition A polynomial is often defined as a set of things in order obeying certain rules. ( these things and rules can be very complicated) A polynomial EQUATION is an equation between two polynomials When using only real numbers and "regular" math rules -4 is a polymomial of degree 0 x = -4 is a polynomial equation is a polynomial of degree 1 it is the same as x +4 = 0 It can be represented by { 4, 0} Sometimes the terms are used interchangably
What is the second degree polynomial that creates the golden ratio?
The polynomial equation is x2 - x - 1 = 0.
Why quadratic equation is used?
It's quite convenient, for it offers a general method to solve any equation that involves a polynomial of degree two (in one variable).
Example of a forth degree polynomial with two terms and a third degree polynomial with two terms that make seven degree polynomial show work?
Assuming you mean a fourth degree polynomial,P4 = x4 + 1P3 = x3 + 1P4*P3 = x7 + x4 + x3 + 1 is a seventh degree polynomial.
What are two polynomial functions whose quotient will have the same degree as the divisor?
For example, if you divide a polynomial of degree 2 by a polynomial of degree 1, you'll get a result of degree 1. Similarly, you can divide a polynomial of degree 4 by one of degree 2, a polynomial of degree 6 by one of degree 3, etc.
At most how many unique roots will a third-degree polynomial have?
A third-degree equation has, at most, three roots. A fourth-degree polynomial has, at most, four roots. APEX 2021
A quadratic polynomial has a degree of 2?
True Yes. Although the term 'quad' stands for four, a quadratic equation is a polynomial of second degree.
What is an equation with two or more variables?
It is called a polynomial.
What are the conditions for error to be minimum in least squares approximation?
Let's start with a first degree polynomial equation:This is a line with slope a. We know that a line will connect any two points. So, a first degree polynomial equation is an exact fit through any two points with distinct x coordinates.If we increase the order of the equation to a second degree polynomial, we get:This will exactly fit a simple curve to three points.If we increase the order of the equation to a third degree polynomial, we get:This will exactly fit four points.if we have more than n + 1 constraints (n being the degree of the polynomial), we can still run the polynomial curve through those constraints. An exact fit to all constraints is not certain (but might happen, for example, in the case of a first degree polynomial exactly fitting three collinear points). In general, however, some method is then needed to evaluate each approximation. The least squares method is one way to compare the deviations.
