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irreducible polynomial

prime...i know its the same as irreducible but on mymathlab you would select prime

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Q: If a polynomial cannot be written as the product of two other polynomials excluding 1 and negative 1 then the polynomial is said to be?
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Related questions

Is the product of two polynomials always a polynomial?

Yes. A polynomial multiplying by a polynomial will always have a multi-termed product. Hope this helps!


What property of polynomial multiplication says that the product of two polynomials is always a polynomial?

Clouser


What is a polynomial that cannot be written as a product of two polynomials?

prime


Which property of polynomial multiplication says that the product of two polynomials is always a polynomial?

That property is called CLOSURE.


To find the product of two polynomials multiply the top polynomial by each of the bottom polynomial?

(b+8)(b+8)


When polynomial is a quadratic polynomial?

Whenever there are polynomials of the form aX2+bX+c=0 then this type of equation is know as a quadratic equation. to solve these we usually break b into two parts such that there product is equal to a*c and I hope you know how to factor polynomials.


What is the answer called when 2 or more polynomials are multipiled?

A polynomial is any number of the form Ax^n + Bx^n-1 + ... + c. So, multiplying numbers with exponents with any other numbers with exponents in polynomials only results in another, larger polynomial. Since this is multiplication, you could call the resultant polynomial a product.


What are the 5 properties of polynomials?

A sum of polynomials is a polynomial.A product of polynomials is a polynomial.A composition of two polynomials is a polynomial, which is obtained by substituting a variable of the first polynomial by the second polynomial.The derivative of the polynomial anxn + an-1xn-1 + ... + a2x2 + a1x + a0 is the polynomial nanxn-1 + (n-1)an-1xn-2 + ... + 2a2x + a1. If the set of the coefficients does not contain the integers (for example if the coefficients are integers modulo some prime number p), then kak should be interpreted as the sum of ak with itself, k times. For example, over the integers modulo p, the derivative of the polynomial xp+1 is the polynomial 0.If the division by integers is allowed in the set of coefficients, a primitive or antiderivative of the polynomial anxn + an-1xn-1 + ... + a2x2 + a1x + a0 is anxn+1/(n+1) + an-1xn/n + ... + a2x3/3 + a1x2/2 + a0x +c, where c is an arbitrary constant. Thus x2+1 is a polynomial with integer coefficients whose primitives are not polynomials over the integers. If this polynomial is viewed as a polynomial over the integers modulo 3 it has no primitive at all.


What is a polynomial term?

A polynomial term is a product of a number and one or more variables raised to various powers. The powers must be non-negative integers.


When is an algebraic expression considered as polynomial?

A polynomial is really an algebraic expression that consists of two or more monomials. A monomial is a number, a variable, or a product of a number with non-negative exponents. Some examples of polynomials are: 2x+3y-1;3bc+7cd-y;7mny-my+n To be exact, polynomials is any expression with the lowest power of unknown as 0 or more. 6z+5, 5x4+9x-1 are some examples of polynomials. However, if the unknown is in the denominator, it is not a polynomial. Also, if the expression has a negative power like 3-2, it will become a fraction when you remove the negative sign (3-2 = 1/32).-42 is a polynomial because it is also -42x0 except that people do not need to write the x0 since x0 = 1 and when you multiply -42x0, it still ends up becoming -42.


How can you factor a polynomial in standard form completely?

You can factor a polynomial using one of these steps: 1. Factor out the greatest common monomial factor. 2. Look for a difference of two squares or a perfect square trinomial. 3. Factor polynomials in the form ax^2+bx+c into a product of binomials. 4. Factor a polynomial with 4 terms by grouping.


If you multiply a linear polynomial by a quadratic one what is the degree of the product polynomial?

It will be a cubic polynomial.