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True or false An expression must have a monomial of degree 1 or higher to be a polynomial?
Wiki User
∙ 14y ago
False.
The height of the degree does not really matter in this case. There just have to be other monomials in the problem to be considered a polynomial. "Poly" means many.
Wiki User
∙ 14y ago
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How do you find the perimeter of each iteration of a tessellation?
You need to find the perimeter at the first few iterations and find out what the sequence is. It could be an arithmetic sequence or a polynomial of a higher degree: you need to find out the generating polynomial. Then substitute the iteration number in place of the variable in this polynomial.
How did proving the impossibility of solving the quintic equation by radicalseffect today?
Not sure what "effects" you are looking for... But what this means is that if you ever need to find roots of a polynomial of degree five or higher, in most cases you'll have to use approximate solutions. Since polynomials of degree 3 and 4 can be solved, but doing this is quite complicated, approximate solutions are often used in those cases, as well.
What is a polynomial function as a graph?
A polynomial function have a polynomial graph. ... That's not very helpful is it, but the most common formal definition of a function is that it is its graph. So, I can only describe it. A polynomial graph consists of "bumps", formally called local maxima and minima, and "inflection points", where concavity changes. What's more? They numbers and shape varies a lot for different polynomials. Usually, the poly with higher power will have more "bumps" and inflection points, but it is not a absolute trend. The best way to analyze the graph of a polynomial is through Calculus.
What do you call a polynomial that has 5 terms?
quatric i think :D Because it doesn't go any higher than it does after four terms Hope this helped
What is the easiest way to solve a cubic function?
In some cases, you can take the cube root from both sides. In other cases, factoring can be quite simple (for example, if the cubic polinomial has no constant part). But in general, there is no simple way to solve polynomials of degree 3 and higher, and that's why they are usually not included in high-school algebra textbooks. There is a fairly complicated formula for polynomials of degree 3, similarly for degree 4; for degree 5 and higher, it has been proven that no such formula can exist. In any case, some sort of iterative method is usually used in practice. Conceptually, the simplest such method is probably trial and error (evaluate the polynomial for different values, until you get the value of the polynomial close enough to zero; but this is rather slow and probably doesn't work well for complex solutions. There are more efficient methods; the Wikipedia article states that "Numerical approximations of roots of polynomial equations in one unknown is easily done on a computer by the Jenkins-Traub method, Laguerre's method, Durand-Kerner method or by some other root-finding algorithm." None of these algorithms is probably "easy", but the idea is that, once programmed in a computer, it can find the solution quickly.Also:A cubic equation has the formax3+bx2+cx+d= 0 where a=! 0Look at the examples in the related link.
An expression must have a monomial of degree 2 or higher to be a polynomial?
False
What is A polynomial of degree 1.?
That means that the monomial of the highest degree has a degree higher than 1. For example: x + 5 3x - 7 -27x + 8
What is an example of an expression that is not a polynomial?
A polynomial expression is one with a degree higher than 0. Hence, all constants will meet your criterion. Note that (x+2) or [sin(2x)+4] is a polynomial of degree 1. The following is a trivial (normally ignored; inconsequential) non-polynomial: (5x2 - 2x2 - 3x2 + 2) ======================================
What is a degree of polynomial?
That means that the monomial of the highest degree has a degree higher than 1. For example: x + 5 3x - 7 -27x + 8
What is a polynomial with a degree of three?
The degree of a polynomial refers to the largest exponent in the function for that polynomial. A degree 3 polynomial will have 3 as the largest exponent, but may also have smaller exponents. Both x^3 and x^3-x²+x-1 are degree three polynomials since the largest exponent is 4. The polynomial x^4+x^3 would not be degree three however because even though there is an exponent of 3, there is a higher exponent also present (in this case, 4).
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.
How do you find the perimeter of each iteration of a tessellation?
You need to find the perimeter at the first few iterations and find out what the sequence is. It could be an arithmetic sequence or a polynomial of a higher degree: you need to find out the generating polynomial. Then substitute the iteration number in place of the variable in this polynomial.
How do you find the roots of a polynomial of graphed points?
Join the points using a smooth curve. If you have n points choose a polynomial of degree at most (n-1). You will always be able to find polynomials of degree n or higher that will fit but disregard them. The roots are the points at which the graph intersects the x-axis.
Is 18 times y to the cube plus 2 times y to the square plus 1 a polynomial if so what kind?
Yes, 18y3 + 2y2 + 1 is a polynomial; it is a cubic expression. If it were expanded to form an equation, then it would be a cubic equation (or higher), capable of solution.
what is first order?
In mathematics and other formal sciences, first-order or first order most often means either: "linear" (a polynomial of degree at most one), as in first-order approximation and other calculus uses, where it is contrasted with "polynomials of higher degree", or.
Can you get a higher degree than master degree?
A doctor's degree is higher than a master's degree.
What polynomial has more than three terms?
A polynomial of order 3 (a cubic) or higher can have more than three terms. However, the the following polynomial, even though of order 7, has only 2 terms: x7 - 23.
