Clouser
That property is called CLOSURE.
irreducible polynomial prime...i know its the same as irreducible but on mymathlab you would select prime
The property you are referring to is the commutative property of multiplication. This property states that the order in which numbers are multiplied does not change the result. In this case, 5xp is equivalent to px5 because multiplication is commutative, meaning you can rearrange the factors without affecting the product.
The answer in multiplication is the product.
Product
That property is called CLOSURE.
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.
Yes. A polynomial multiplying by a polynomial will always have a multi-termed product. Hope this helps!
prime
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.
To cross-check that a multiplication is correct as for example if 7*8 = 56 then the reverse process of division must be correct as 56/7 = 8 or 56/8 = 7
(b+8)(b+8)
irreducible polynomial prime...i know its the same as irreducible but on mymathlab you would select prime
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.
The commutative property of multiplication.
Distributive
Commutative Property of Multiplication