# Factoring Polynomials Worksheets

Tips for Factoring Polynomials - Factoring polynomials is one of the most basic calculations students learn in their quest for mathematical excellence. However, as polynomials become tougher, so is factorization practices. Thus, it's essential that you learn the tips for factoring polynomials before you commence with the actual process. Let us highlight those tips below. For any polynomial, no matter how many terms it has, you need to check for the greatest common factor first. In other words, in an expression, you search for a common term that occurs in the entire expression. For instance, you have an expression of 5x - 15. Here, the greatest common factor is 5. So, you can write the equation as 5(x-3). Remember, if you wish to resolve these equations, you have to equal it to zero. Thus, 5(x-3)=0. Now, you need to divide the GCF number throughout the expression. Like (5(x-3))/5=0. The equation then becomes (x-3) = 0. Now, you get the term x = 3. However, if the equation is trinomial (three terms), you can use the FOIL method for multiplying binomials backwards. Moreover, if it's a binomial, then you need to look for the difference of squares, the difference of cubes as well as the sum of cubes.

• ### Basic Lesson

Guides students solving equations that involve an Factoring Polynomials. Demonstrates answer checking. Factor Polynomial: 8x+24 For solving the above equation we have to take the common factor 8. Place the common factor outside as a coefficient = 8(x+3).

• ### Intermediate Lesson

Demonstrates how to solve more difficult problems. We have, Coefficient of x2 = 2, Coefficient of x= 5, Constant term = 3. Now, try to split the coefficient of x that is 5 into two parts whose sum is 5 and product equals to the coefficient of x2 and constant term that is 2 x 3 = 6.

• ### Independent Practice 1

A really great activity for allowing students to understand the concept of Factoring Polynomials.

• ### Independent Practice 2

Students find the Factoring Polynomials in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of Factoring Polynomials.

• ### Skill Quiz

This tests the students ability to evaluate Factoring Polynomials.