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Q: If you multiply a trinomial by a monomial what type of polynomial will the product be?

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Distributive

It will be a cubic polynomial.

two factors is a binomial three factors is a trinomial four of more is a polynomial the product of any of these is just a polynomial

Factor

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?

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.

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.

sum of the monomials APEX =)

Is sometimes possible, but not always.

(b+8)(b+8)

1. Quadratic Formula 2. Rational Root Theorem 3. Zero Product Theorem

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!

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