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What is the mathematical term for a polynomial with 3 terms in the 3rd degree?
A third degree polynomial is called a cubic - regardless of how many terms it has, it is named after the highest power.x3+ x - 1 is still a cubic, despite the lack of an x2term. Likewise, x2- 4 is still a quadratic, and x4- 2x is called a quartic.
What is the logic behind these numbers 0 1 8 10 19 90?
Given any set of 6 numbers it is easy to find a rule based on a polynomial of order 5 such that the polynomial generates those numbers. There are infinitely many polynomials of orders 6, 7, 8 etc and also non-polynomial answers.One possible answer, out of these infinite possibilities isUn = (4n5 - 37n4 + 663 + 2415n2 - 730n + 456)/24 for n = 1, 2, 3, ...
How many roots does y equals x2-4x plus 4 have?
y = x2-4x+4 Since the highest degree term is 2, it must have 2 roots
Where can someone purchase 'Roots' on DVD?
Roots can be purchased online from many different stores. Try looking at eBay, Amazon Video, bestbuy, warnervideo, cduniverse, walmart, or blackclassicmovies.
What are Similarities between taproot and fibrous root?
both are roots both grow under ground both hold the plant firmly
How many unique roots will a third degree polynomial function have?
It can have 1, 2 or 3 unique roots.
At most how many unique roots will a fourth degree polynomial have?
4, the same as the degree of the polynomial.
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
At most how many unique roots will a fifth-degree polynomial have?
5, Using complex numbers you will always get 5 roots.
At most how many unique roots will a fourth-degree polynomial have?
According to the rational root theorem, which of the following are possible roots of the polynomial function below?F(x) = 8x3 - 3x2 + 5x+ 15
How many real roots will a 3rd degree polynomial have?
A third degree polynomial could have one or three real roots.
how many roots does the graphed polynomial function have?
here is the graph
The polynomial 32 plus 4x plus 3 has how many roots?
1
Is it true that the degree of polynomial function determine the number of real roots?
Sort of... but not entirely. Assuming the polynomial's coefficients are real, the polynomial either has as many real roots as its degree, or an even number less. Thus, a polynomial of degree 4 can have 4, 2, or 0 real roots; while a polynomial of degree 5 has either 5, 3, or 1 real roots. So, polynomial of odd degree (with real coefficients) will always have at least one real root. For a polynomial of even degree, this is not guaranteed. (In case you are interested about the reason for the rule stated above: this is related to the fact that any complex roots in such a polynomial occur in conjugate pairs; for example: if 5 + 2i is a root, then 5 - 2i is also a root.)
The polynomial 4x2 plus 5x plus 4 has how many roots?
None, it involves the square root of a negative number so the roots are imaginary.
How many real roots can a fourth degree polynomial have?
Upto 4. If the coefficients are all real, then it can have only 0, 2 or 4 real roots.
How do you find out the number of imaginary zeros in a polynomial?
Descartes' rule of signs (see related link) can help you determine the maximum number of real roots. If the polynomial is odd powered, then there will be at least one real root. Any even powered polynomial can be factored into a bunch of quadratics [though they may not be rational or even pretty], and any odd-powered polynomial can be factored into a bunch of quadratics and one linear (this one would have the real root). So the quadratics may have pairs of real or complex roots (having an imaginary component).To clarify, when I say complex, I'm referring to the fact that there will be an imaginary component to the root, because actually the real numbers is a subset of the set of complex numbers.The order of the polynomial will tell you how many roots it will have. If you can graph the polynomial, then you can see if it crosses the x axis. If it is a 5th order polynomial, and crosses the x axis 3 times, then there are 3 real roots (the other two roots are complex).
