Factoring Polynomial With Common Monomial Factor

Homework in Special Products and Factoring

1. FACTORING POLYNOMIAL WITH COMMON MONOMIAL FACTOR

2. Factoring A polynomial with integer coefficients is said to be prime if it has no monomial or polynomial factors with integer coefficients other than itself and one . A polynomial with integer coefficients is said to be factored completely when each of its polynomial factor is prime .

3. Factoring Polynomial with Common Monomial Factor Definition of terms: Polynomial – is an algebraic expression that represents a sum of one or more terms containing the whole number exponents on the variable. Variable – is a symbol which represents an Unknown. Constant – is a symbol or number with fixed value. Factoring is a reverse process of multiplication where we write a polynomial as a product of two or more simpler polynomials.

4. Rewriting a polynomials as a product of polynomial factors is call Factoring Polynomials. These are: Common Monomial Factor Difference of two Squares Factoring Trinomials Factoring Perfect Square Trinomial Factoring by Grouping

5. Factoring Polynomials with Greatest Common Monomial Factor (GCMF) Greatest Common Monomial Factor is the highest possible value of a number, a variable, or a combination of numbers and variables which is common in each term of a given polynomial.

6. Steps in factoring polynomials with GCMF: 1. Find the greatest common monomial factor. 2. Divide each term in the polynomial by its GCMF. 3. Combine the answers in Steps 1 and 2 as a product.

7. Write a polynomial factor in the blank to complete each statement.\ 7p 2 – 7p 7p(______) 18xy + 3y (_____)(6x + 1) 15m 3 – 15m 2 + 20m 5m(______________) 4. 17x 5 – 51x 4 - 34x (_____)(x 4 – 3x 3 – 2) 5. 35x 5 y 2 + 21x 4 y 7x 3 y(____)