Flow Chart For Factoring Polynomials
What helped my students most was having a factoring flow chart.
Flow chart for factoring polynomials. This flow chart works for factoring using distributive property factoring by grouping factoring quadratics using the tic tac toe method factoring differences of squares and factoring perfect squares. For a polynomial no matter how many terms it has always check for a greatest common factor gcf first. Literally the greatest common factor is the biggest expression that will go into all of the terms. I finally found the perfect flow chart however.
As with any concept the way to get good at factoring is to practice it a lot. The top of the chart takes you through factoring out a gcf and 1 then gives you the choices of 2 3 or 4 terms perfect square trinomial difference of squares four term grouping a 1 a 1 a g. This is a flowchart for factoring polynomials and is useful for algebra 1 and algebra 2 students. X2 bx c or x bxy cy2 yes look for two factors of c whose sum is b.
Factoring methods the flow chart on the first page gives you a quick reference on approaching a factoring problem. If the answer is. No write the final answer as a product of all the factors and the gcf. When a equals 1 and when a does not equal 1.
If you would like a pdf of this flowchart click here. 2 10x 25 y. X x no are the first and last terms squared. Jul 19 2014 algebra students usually have f words besides fun to describe factoring polynomials here s a helpful flow chart for deciding how to factor most polynomials algebra students face.
You have multiple factoring options to choose from when solving polynomial equations. Yes repeat the process. Factor by grouping. By continually referencing it in class students.
Factoring polynomials flow chart doodle graphic organizer used to develop an understanding of multiple factoring techniques. Yes is the leading coefficient 1. Try to write the polynomial as a 2 b c. By difference of squares.
Try factoring by grouping is it a quadratic. If the answer is. Difference of squares difference of cubes sum of cubes. 2 2 3 3 a b a ab b a b no change to quadratic form.
2 2 yes. Find this pin and more on teacher teacher by cortney brock. Complex factoring problems can be solved using the chart as a general guide and applying the techniques that will be discussed below. The site has been taken down but i have uploaded the file here.