# What are the three special cases?

## What are the three special cases?

The special cases are: trinomials that are perfect squares, a2 + 2ab + b2 and a2 – 2ab + b2, which factor as (a+ b)2 and (a – b)2, respectively; binomials that are the difference of two squares, a2 – b2, which factors as (a + b)(a – b).

**How do you find the special product of a polynomial?**

How To: Given a binomial multiplied by a binomial with the same terms but the opposite sign, find the difference of squares.

- Square the first term of the binomials.
- Square the last term of the binomials.
- Subtract the square of the last term from the square of the first term.

**What is multiplication of monomials by polynomials?**

Multiplication of a Polynomial by a Monomial To multiply a polynomial by a monomial, use the distributive property: multiply each term of the polynomial by the monomial. To multiply a polynomial by a monomial, use the distributive property: multiply each term of the polynomial by the monomial. This involves multiplying coefficients and adding exponents of the appropriate variables.

### What is a special case in math?

Freebase (0.00 / 0 votes)Rate this definition: Special case In logic, especially as applied in mathematics, concept A is a special case or specialization of concept B precisely if every instance of A is also an instance of B but not vice versa, or equivalently, if B is a generalization of A.

**What is the product of a binomial?**

When you’re asked to square a binomial, it simply means to multiply it by itself. The square of a binomial will be a trinomial. The product of two binomials will be a trinomial.

**What is a factor polynomial?**

Factorization of a Polynomial. A factor of polynomial P(x) is any polynomial which divides evenly into P(x). For example, x + 2 is a factor of the polynomial x 2 – 4. The factorization of a polynomial is its representation as a product its factors. For example, the factorization of x 2 – 4 is (x – 2)(x + 2).