# 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.

1. Square the first term of the binomials.
2. Square the last term of the binomials.
3. 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).