CORNELL NOTES SHEET - Weebly
Cornell NotesFoundations,Pre-Calc. 10Chapter:___4.3__________Topic: Factoring Trinomials Part 2Date:________________________Homework:Pg 172 #4,5,7,8a,9ac,14Key Terms:Definition:Factor by decompositionmultiply term 1&3 then factor to determine the middle terms; the sum of the factors must add up to the middle termsolve the 4 term polynomial by factoring by groupingQuestions/Examples:Notes:Example 1Factor the polynomial: 2x2 – 3x – 20 2x2 – 8x + 5x – 20 Distribution Method:Factor by grouping (2x2 – 8x) + (5x – 20) 2 * -20 = -40the first two and the 2x(x – 4) + 5(x – 4) Factors: 1, -40 2,-20second two binomials (2x + 5)(x – 4) 4,-10, 5,-8Using FOIL you will return to the originalpolynomialExample 2Factor completelyIn more complicated 18x3 – 60x – 21x2 GCF: 3x – remove this factor firstexpressions we may need 3x(6x2-20-7x) now proceed with the Decompositionto factor out a common 3x(6x2-7x-20) Method to factor the polynomialfactor first, or even 3x(6x2+8x-15x-20) Factor 6*20 = 120 with sum of -7work with more than one 3x(6x2+8x)-(15x-20) 5,- 24; 6, -20; 8, -15the factor or 3x must be 3x2x(3x+4)-5(3x+4) part of the solution 3x(2x-5)(3x-4) continue notes on backSUMMARY: Write a summary – 2 to 3 key points in full sentences – of what you learned and need to remember about this lesson.____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Questions:Notes:Example 3 3x2+14xy+8y2 Factor 3x *8y = 24xy Sum = 14The procedure we use for (3x2+12xy)+(2xy+8y2) 2,12; 3,8; 4,6two variables is the same 3x(x+4y)+2y(x+4y) for using just one variable (3x+2y)+(x+4y) Example 3Determine the possible values of k so that 6x2+kx-7 can be factored for this question we want to determine all possible numbers for themiddle term kfactor by the decomposition method 6 * -7 = -42 the answer is all of the factors -42k can be the sum of any of these factors-1,42-2,21-3,14-6,7Self-assessment of C-notes: Write a Yes or No in the appropriate blank for the following:________ I have completed all the header information.________ I have done a thorough job of note-taking today’s subject.________ I have written questions in the left column that will remind me of the contents of my notes when I study.________I have written a detailed summary according the writing guidelines required. ................
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