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Can a square root be a polynomial?

Yes, definitely. In rings, such as integers or polynomial rings not all elements do have square roots (like over complex numbers). Having a square root means exactly the same as being a perfect square. So you can take any polynomial, and take its square, then you will have another polynomial which has a square root.

What is the formula of polynomial?

A polynomial is a function of the form f(x) = anxn + an−1xn−1 + + a2x2 + a1x + a0 . The degree of a polynomial is the highest power of x in its expression. Constant (non-zero) polynomials, linear polynomials, quadratics, cubics and quartics are polynomials of degree 0, 1, 2 , 3 and 4 respectively.

What polynomial has 5 terms?

You call an expression with a single term a monomial, an expression with two terms is a binomial, and an expression with three terms is a trinomial. An expression with more than three terms is named simply by its number of terms. For example a polynomial with five terms is called a five-term polynomial.

How do you solve a quintic polynomial?

How to solve a quintic polynomial equation?

  1. The ones with at least one rational root can be identified quickly using the rational root theorem and then the remaining quartic always has an exact solution in radicals.
  2. You have to find out the so-called galois-group over Q of the given quintic.
  3. First check, whether the polynomial is irreducible over Q.

Is y 5 a polynomial?

(Yes, “5” is a polynomial, one term is allowed, and it can be just a constant!)

What is an example of a quintic polynomial?

Mathwords: Quintic Polynomial. A polynomial of degree 5. Examples: x5 – x3 + x, y5 + y4 + y3 + y2 + y + 1, and 42a3b2.

What is constant polynomial?

A polynomial that, when evaluated over each in the domain of definition, results in the same value. The simplest example is for and. a constant. SEE ALSO: Polynomial, Zero Polynomial.

What is an example of a cubic polynomial?

Cubic polynomials are polynomials of degree three. Examples include /begin{align*}x^3+8, x^3-4x^2+3x-5/end{align*}, and so on. Notice in these examples, the largest exponent for the variable is three (3). They are all cubics.

What is constant polynomial with example?

A polynomial with degree 0 is called a constant polynomial. Any constant number for example, 3, 4/5, 679, 8.34 are examples of constant polynomials.

How many zeros are of a cubic polynomial?

three zeros