Mastering Polynomial Factoring: A Comprehensive Guide
This guide will help you understand how to factor polynomials effectively. Begin by organizing the polynomial in descending order and determine if there is a greatest common factor (GCF) that can be factored out. Explore methods such as factoring by grouping, recognizing differences of squares, and identifying perfect square trinomials. Learn how to rewrite the polynomial using a product/sum chart to find two numbers that will aid in factoring, and discover what to do if you encounter prime factors. Gain clarity on various polynomial types and mastering the factoring process.
Mastering Polynomial Factoring: A Comprehensive Guide
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Presentation Transcript
Factoring Polynomials • Put the polynomial in descending order. • 2. If there is a GCF, take it out! Binomials 4 or more terms Can you factor by grouping? Is it a difference of squares? Is it a Perfect Square Trinomial? Yes No Yes No Factor into: (a + b)(a + b) or (a – b)(a – b) Make a product/sum chart. Find two numbers whose Product is ab and whose sum is c. Type 1 (a = 1) Type 2 (a > 1) nothing worked! Yes No Use the two numbers to re-write the polynomial in factored form. Use the two numbers to Re-write the middle term. Then, factor by grouping. Factor into: (a + b)(a - b) If there was no G.C.F., then it isPRIME! Trinomials Group terms into 2 binomials. Take out the G.C.F.’s. Re-write in factored form. If there was no G.C.F., then it is PRIME! If there was no G.C.F., then it isPRIME!
