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Factoring Polynomial Worksheets

A compilation of numerous worksheets on factoring monomials, binomials, trinomials and polynomials are available on this page. It includes factoring linear expressions and quadratic expressions. Worksheets based on algebraic identities are also included. Recommended for students from 5th grade through high school.

Factors of monomials

Select the factors of the monomials from the multiple responses given in Part A. List all the possible factors in Part B.

Monomials: Factors

Sheet 1 | Sheet 2 | Sheet 3

Factoring linear expression

Each worksheet has linear expressions, which require factoring. When factoring, take the largest factors possible out of the expressions.

Factoring Linear Expression

Sheet 1 | Sheet 2 | Sheet 3

Factoring quadratic expression

A quadratic expression is in the form ax2+bx+c. Factorize each second degree polynomial (only trinomial) into two first degree polynomials.

Factoring Quadratic Expression

Easy: Sheet 1 | Sheet 2 | Sheet 3

Medium: Sheet 1 | Sheet 2 | Sheet 3

Factoring binomials

Binomials are expressions with only two terms being added. Factor out the expressions in both easy and medium levels.

Factoring Binomials

Easy: Sheet 1 | Sheet 2 | Sheet 3

Medium: Sheet 1 | Sheet 2 | Sheet 3

Factoring polynomials (more than 2 terms)

The sum of two or more monomials is a polynomial. Each worksheet has 10 problems factoring polynomials. Trinomials also included.

Factoring Polynomials

Sheet 1 | Sheet 2 | Sheet 3

Algebraic identities: Type I & Type II

Factorize the polynomials formed by a combination of single variable, multi variables and fractions. Solve using the identities (a+b)2 and (a-b)2.

Factoring Polynomials

Easy: Sheet 1 | Sheet 2 | Sheet 3

Medium: Sheet 1 | Sheet 2 | Sheet 3

Hard: Sheet 1 | Sheet 2 | Sheet 3

Algebraic identity: Type III

Find the factors of each polynomial given in the form of identity a2 - b2. Whole numbers and fractions are incorporated in easy and medium levels respectively.

Factoring Polynomials

Easy: Sheet 1 | Sheet 2 | Sheet 3

Medium: Sheet 1 | Sheet 2 | Sheet 3

Algebraic identities: Type IV & Type V

Work on these three exclusive worksheets on factoring polynomials using the algebraic identities a3 - b3 and a3 + b3.

Factoring Polynomials

Sheet 1 | Sheet 2 | Sheet 3