Pre-AP Algebra 2 Unit 7 - Lesson 4 – Factoring by u-Substitution; Solving Polynomial Equations; Factoring Flow Chart Objectives: Students will be able to: factor by using a u-substitution to write polynomials in quadratic form. solve polynomial equations by factoring. select the appropriate factoring technique for a given polynomial (using a factoring flowchart). Materials: Hw #7-3 overhead; tally sheets; note-taking templates; factoring flow charts; pair ...
Factoring Flow Chart greatest common factor? YES NO factor out GCF leaving GCF(quotient) how many terms? 4+ factor by grouping 2 3 difference of perfect square squares? trinomial? YES YES NO NO 2 2 2 2 2 coefficient of a -b = (a+b) (a-b) a ±2ab+b = (a±b) first term = 1? YES NO sum or difference sum of of cubes? squares? factor ...
Factoring Flow Chart Quadratics: ax2 bxc Start: Can you factor out a common term (Type I)? yes no 22 Is it a difference of squares? ( ) ab Can you factor what is yes yes left? no no Type II: Factor to (ab)(a b) Is the coefficient on the x2 term (a) one? Verify and Verify yes DONE and no DONE Type V: Factor by: ...
Factoring Flow Chart (What Do I Do?) REMEMBER: Question #1: Is there a Greatest Common Factor? = 0 means to SOLVE! (GCF?) No If the polynomial is set equal Yes to 0, factor first and then set both factors equal to 0 and solve. Factor out the GCF Question #2: Does it have four terms? Answer: Product of a Yes No Question #3: ...
Algebra II Factoring Flow Chart Check for GCF Binomial Trinomial 4 Terms Differ ence o f 2 Per fect S quar e Grouping squares Trinomials Sum of 2 cubes Difference of 2 cubes Reverse FOIL Leading Leading Coeff. > 1 Coefficient = 1 Sum/Product Table Guess & Check ...
Factoring Flow chart Can you factor a common term (GCF)? YES NO Can it be factored again? x o b n NO YES u r o e gl n How many terms?? a t FACTORED! c e r a 2 3 f o a e r a Difference of 2 Sum-Product or e h Squares Slide and Divide t g n i d n Can ...
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