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What property of polynomial multiplication says that the product of two polynomials is always a polynomial?
Clouser
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?
irreducible polynomial prime...i know its the same as irreducible but on mymathlab you would select prime
What is the property of 5xp equals px5?
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.
What do you call the answer in multiplication?
The answer in multiplication is the product.
What is the answer to a multiplication?
Product
What property of polynomial multiplication says that the product of two polynomials is always a polynomial?
Clouser
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.
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 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 is a polynomial that cannot be written as a product of two polynomials?
prime
Will the product of two polynomials always be a polynomials?
Yes, the product of two polynomials will always be a polynomial. When you multiply two polynomials, the result is obtained by distributing each term of the first polynomial to each term of the second, which involves adding the exponents of like terms. This process results in a new polynomial that follows the standard form, consisting of terms with non-negative integer exponents. Thus, the product maintains the characteristics of a polynomial.
How do multiplying and factoring polynomials compare?
Multiplying polynomials involves distributing each term of one polynomial to every term of another, combining like terms to simplify the result. In contrast, factoring polynomials is the process of expressing a polynomial as a product of simpler polynomials or monomials. While multiplication expands expressions, factoring seeks to reverse that process by finding the original components. Both operations are fundamental in algebra and are often interconnected; for instance, factoring can be used to simplify the process of multiplication by breaking down complex polynomials.
Why is it important to know the reverse process of multiplication?
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
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.
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?
irreducible polynomial prime...i know its the same as irreducible but on mymathlab you would select prime
Which property of multiplication states that changing the order of the factor does not change the product?
The commutative property of multiplication.
