Factoring Video LectureSections 6.1 - 6.5Course 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 ax2+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.FactoringGreatest Common Factor: Always check for a GCF first!Grouping: Try when there are 4 (or any even number of) termsReverse FOIL: Try when there are 3 terms1) If the leading coefficient is one:Find two numbers that multiply to the last term and add to the middle coefficient2) If the leading coefficient in not one:Trial and Error method or Reverse FOILDifference of Squares: Try if there are 2 terms (it must be subtraction!)Sum or Difference of Cubes: Try if there are 2