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Will the product of two polynomials always be a polynomial?
Yes, the product of two polynomials will always be a polynomial. This is because when you multiply two polynomials, you are essentially combining like terms and following the rules of polynomial multiplication, which results in a new polynomial with coefficients that are the products of the corresponding terms in the original polynomials. Therefore, the product of two polynomials will always be a polynomial.
Can the sum of three polynomials again be a polynomial?
The sum of two polynomials is always a polynomial. Therefore, it follows that the sum of more than two polynomials is also a polynomial.
Give examples of some kinds of polynomials?
Binomials and trinomials are two types of polynomials. The first has two terms and the second has three.
What has the author T H Koornwinder written?
T. H. Koornwinder has written: 'Jacobi polynomials and their two-variable analysis' -- subject(s): Jacobi polynomials, Orthogonal polynomials
How do you factorise 15x-27xy?
Factorising 15x-27xy gives 3x (5 - 9y).Factorising is to express a number or expression as a product of factors.When factorising always look for common factors. To factorise (15x-27xy) look for the highest factor between the two terms (3x). 15x - 27y = 3x (5 - 9y)
Is it possible to add 2 polynomials together and your answer is not a polynomial?
No. Even if the answer is zero, zero is still a polynomial.
What is a polynomial that cannot be written as a product of two polynomials?
prime
What is expressable as a ratio of two integers or polynomials?
A rational number
How do you multiply three or more polynomials?
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.
How do you count terms in polynomials?
Terms in polynomials are simply separated by a plus or minus sign. For example, if you had: x+12x, that would be a binomial (two terms). A trinomial is when the expression has three or more terms, 7x+12x-6x.
Is two terms a polynomial if the definition says more than two terms. Is a bi-nomial not part of the set of polynomials?
Two terms is a binomial. More than two terms is a polynomial. Binomials are not part of the set of polynomials.
Can the sum of two polynomials with x as the variable both starting as degree 4 simplify to be of degree 3 in the answer?
Yes. Here is an example: P1 = 5x4 + 3x3; P2 = -5x4 -2
