0
What else can I help you with?
What property is used when finding the product of a monomial and a polynomial?
Distributive
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.
What does it mean when it says write each polynomial as the product of two binomials?
It means that the question has been written by someone who does not know what the word "polynomial" means, or else that this is a copy-and-paste by someone who knows even less! Only a trinomial can be written as a product of two binomials. No polynomial of any other order can!
What are the way to find the product of monomial by binomial?
To find the product of a monomial by a binomial, you can use the distributive property. Multiply the monomial by each term in the binomial separately. For example, if you have a monomial (a) and a binomial (b + c), you would calculate (a \cdot b + a \cdot c). This method ensures that each term in the binomial is accounted for in the final expression.
Is 2x plus 1 a monomial?
No, (2x + 1) is not a monomial; it is a polynomial expression consisting of two terms. A monomial is defined as a single term that can include a constant, a variable, or a product of constants and variables, but it cannot have addition or subtraction. In this case, the presence of the plus sign means it has more than one term.
What property is used when finding the product of a monomial and a polynomial?
Distributive
Will the product of two binomials always equal a trinomial?
no, because some examples are: (a-2)(a+2) = a^2-4 (binomial) & (a+b)(c-d) = ac-ad+bc-db (polynomial) but can 2 binomials equal to a monomial?
Polynomial as the product of one monomial factor and prime factors with at least two terms?
Factor
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.
How can you get the special product of a trinomial?
You represent a generic trinomial with some letters, then just carry out the desired operations. The general rule to multiply polynomials is that each term in one polynomial must be multiplied by each term in the other polynomial. For example, to multiply a trinomial by itself - i.e., square it - you get: (a + b + c) (a + b + c) = a2 + ab + ac + ab + b2 + bc + ac + bc + c2 Next, you can group similar terms; well, I'll leave that to you.
A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials?
sum of the monomials APEX =)
To write a polynomial as the product of 1 monomial factors and 2 prime factors with at least two terms?
Is sometimes possible, but not always.
How do you find the two factors of one monomial and a polynomial?
1. Quadratic Formula 2. Rational Root Theorem 3. Zero Product Theorem
To find the product of two polynomials multiply the top polynomial by each of the bottom polynomial?
(b+8)(b+8)
What does it mean when it says write each polynomial as the product of two binomials?
It means that the question has been written by someone who does not know what the word "polynomial" means, or else that this is a copy-and-paste by someone who knows even less! Only a trinomial can be written as a product of two binomials. No polynomial of any other order can!
What are the way to find the product of monomial by binomial?
To find the product of a monomial by a binomial, you can use the distributive property. Multiply the monomial by each term in the binomial separately. For example, if you have a monomial (a) and a binomial (b + c), you would calculate (a \cdot b + a \cdot c). This method ensures that each term in the binomial is accounted for in the final expression.
