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1. How is the distributive property used to multiply two polynomials? 2. Two students used the distributive property to expand (a + b)? Which student is incorrect? Identify their error. A B [o+b)2 (o+b)2 =a2+b2 =[o+b)[o+b) =a2+ab+ab+b2 =a2+2ab+b2 3. Create a ow chart, or diagram, describing what type of factoring to use given a polynomial. For every step in the chart, give instructions for how to recognize individual factoring methods, and give an example of how to factor that particular type. 4. Explain how you factor: - by common factoring; - by grouping; - trinomials of the form :32 + in: + c; - trinomials of the form [1.32 + in: + c; - binomials of the form a? _ b2 (differences of squares); - trinomials of the form a2 + 2gb + b2 (perfect square trinomials). 5. Your friend factors a binomial 2x3 _ 19$ to give 2.7:[532 5). Why isn't the factor $2 _ 5 factored further? 6. How do we determine when a polynomial cannot be factored any further? 7. Your friend attempted to factor a polynomial and produced the following result. 3x' +x' + 3.r + 1 = 3r' (x + 1) + 3(x + 1) = 3(r' + 1)(x + 1) Explain your friend's error