Four.
Four.
Four.
Four.
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.
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, ...
y = x2-4x+4 Since the highest degree term is 2, it must have 2 roots
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both are roots both grow under ground both hold the plant firmly
It can have 1, 2 or 3 unique roots.
A fourth degree polynomial function can have up to four unique roots. However, the actual number of unique roots can be fewer, depending on the polynomial's coefficients and the nature of its roots. Roots can be real or complex, and some roots may be repeated (multiplicity). Thus, the number of unique roots can range from zero to four.
A polynomial of degree ( n ) can have at most ( n ) unique roots. This is due to the Fundamental Theorem of Algebra, which states that a polynomial of degree ( n ) has exactly ( n ) roots in the complex number system, counting multiplicities. Therefore, if all the roots are distinct, the maximum number of unique roots is equal to the degree of the polynomial.
4, the same as the degree of the polynomial.
A third-degree equation has, at most, three roots. A fourth-degree polynomial has, at most, four roots. APEX 2021
5, Using complex numbers you will always get 5 roots.
A sixth-degree polynomial function can have up to six unique roots. However, the actual number of unique roots can be fewer than six, depending on the specific polynomial and whether some roots are repeated (multiplicity). According to the Fundamental Theorem of Algebra, the total number of roots, counting multiplicities, will always equal the degree of the polynomial, which is six in this case.
A seventh-degree polynomial function can have up to 7 unique roots, according to the Fundamental Theorem of Algebra. However, some of these roots may be complex or repeated, meaning the actual number of distinct roots can be fewer than 7. In total, the polynomial can have anywhere from 0 to 7 unique roots.
According to the rational root theorem, which of the following are possible roots of the polynomial function below?F(x) = 8x3 - 3x2 + 5x+ 15
A third degree polynomial could have one or three real roots.
here is the graph
1