A rational number is able to be represented as a ratio of polynomials. pi/e is a ratio of irrational numbers, neither of which can be represented as a ratio of polynomials, and so I would conclude that pi/e is not rational. But it's a good question, because what if two irrational numbers could cancel out their irrationality, like two negative numbers! A quotient of two irrational numbers can be a rational number. Trivial example 2pi/pi = 2.
prime
what is the prosses to multiply polynomials
It is called the property of "closure".
(b+8)(b+8)
A rational number
A rational algebraic expression is the ratio of two polynomials, each with rational coefficients. By suitable rescaling, both the polynomials can be made to have integer coefficients.
The question cannot be answered because the ratio of the polynomials cannot simplify to "3x-12x plus 1" since that is not a simplified form: it simplifies to -9x + 1.
A rational number is able to be represented as a ratio of polynomials. pi/e is a ratio of irrational numbers, neither of which can be represented as a ratio of polynomials, and so I would conclude that pi/e is not rational. But it's a good question, because what if two irrational numbers could cancel out their irrationality, like two negative numbers! A quotient of two irrational numbers can be a rational number. Trivial example 2pi/pi = 2.
The sum of two polynomials is always a polynomial. Therefore, it follows that the sum of more than two polynomials is also a polynomial.
Binomials and trinomials are two types of polynomials. The first has two terms and the second has three.
T. H. Koornwinder has written: 'Jacobi polynomials and their two-variable analysis' -- subject(s): Jacobi polynomials, Orthogonal polynomials
No. Even if the answer is zero, zero is still a polynomial.
To multiply TWO polynomials, you multiply each term in the first, by each term in the second. This can be justified by a repeated application of the distributive law. Two multiply more than two polynomials, you multiply the first two. Then you multiply the result with the third polynomial. If there are any more, multiply the result with the fourth polynomial, etc. Actually the polynomials can be multiplied in any order; both the communitative and associate laws apply.
prime
Oh, what a happy little tree! When it tried to divide two polynomials, it found some roots and branches to explore. Just like in nature, sometimes it takes a few tries to find the right path. Remember, mistakes are just happy accidents on the canvas of learning.
Two terms is a binomial. More than two terms is a polynomial. Binomials are not part of the set of polynomials.