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# Factoring Video Lecture

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Factoring Video Lecture Sections 6 1 6 5 Course Learning Objective Simplify polynomial expressions Review from Math 840 Weekly Learning Objectives 1 Factor out the greatest common factor from a polynomial 2 Factor a polynomial by grouping 3 Factor trinomials of the form x2 bx c 4 Factor out the greatest common factor and then factor a trinomial of the form x2 bx c 5 Factor trinomials of the form ax2 bx c where a is not 1 6 Factor out a GCF before factoring a trinomial of the form bx c 7 Factor perfect square trinomials 8 Factor the difference of two squares 9 Factor the sum or difference of two cubes 10 Factor expressions with variable exponents ax2 Factoring Greatest Common Factor Always check for a GCF first Grouping Try when there are 4 or any even number of terms Reverse FOIL Try when there are 3 terms 1 If the leading coefficient is one Find two numbers that multiply to the last term and add to the middle coefficient 2 If the leading coefficient in not one Trial and Error method or Reverse FOIL Difference of Squares Try if there are 2 terms it must be subtraction Sum or Difference of Cubes Try if there are 2 terms

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