1) Why is it useful to factor out the GCF first when factoring? 2) How do you factor trinomials? How can we check the binomial f
actors to verify that they are truly factors? 3) What are the key features to graphing a polynomial function? Explain how to find these key features to sketch a rough graph 4) How do you recognize if a binomial is a difference of perfect? 5) What signals you that factoring by grouping is the best method to use when factoring a problem?
1. It's useful to divide out the GCF first because it makes factoring easier because the coefficients are smaller requiring less steps. 2. First, identify a,b, and c in the trinomial ax^2+bx+c. Then, write down all factor pairs of c Then, identify which factor pair from the previous step sums up to b. Then, Substitute factor pairs into two binomials 3. Key features are the y-intercept the zeros and the end behavior. to graph these put a pont on the intercepts and draw a line through them that matches the end behavior. 4. A binomial that is the difference of perfect squares is in the form of a^2-b^2 And its factor form is a^2 - b^2=(a-b)(a+b)5. Factoring by grouping often works well with four-term polynomials but the last step of factoring the common binomial only works when both terms contain the exact same binomial.
