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ALGEBRA – LESSON 109. Advanced Trinomial Factoring. Training Camp Answers. 7, -5 -5/6, 5/6 2, -2 -4/3, 2 -8, 2 -2, 2. Grade Scale – 30 possible. 29.5 – 98% 22.5 – 75% 29 – 97% 22 – 73% 28.5 – 95% 21.5 – 72% 28 – 93% 21 – 70% 27.5 – 92% 20.5 – 68%
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ALGEBRA – LESSON 109 Advanced Trinomial Factoring
Training Camp Answers • 7, -5 • -5/6, 5/6 • 2, -2 • -4/3, 2 • -8, 2 • -2, 2
Grade Scale – 30 possible 29.5 – 98% 22.5 – 75% 29 – 97% 22 – 73% 28.5 – 95% 21.5 – 72% 28 – 93% 21 – 70% 27.5 – 92% 20.5 – 68% 27 – 90% 20 – 67% 26.5 – 88% 19.5 – 65% 26 – 87% 19 – 63% 25.5 – 85% 18.5 – 62% 25 – 83% 18 – 60% 24.5 – 82% 17.5 – 58% 24 – 80% 17 – 57% 23.5 – 78% 16.5 – 55% 23 – 77% 16 – 53%
Grade Scale – 15 possible 14.5 – 97% 7.5 – 50% 14 – 93% 7 – 47% 13.5 – 90% 6.5 – 43% 13 – 87% 6 – 40% 12.5 – 83% 5.5 – 37% 12 – 80% 5 – 33% 11.5 – 77% 4.5 – 30% 11 – 73% 4 – 27% 10.5 – 70% 3.5 – 23% 10 – 67% 3 – 20% 9.5 – 63% 2.5 – 17% 9 – 60% 2 – 13% 8.5 – 57% 1.5 – 10% 8 – 53% 1 – 07%
Factoring Trinomials You know how to factor or “unfoil” trinomials. Up to now, the coefficient of the squared term has always been 1 so we have used the “trick” of finding 2 numbers that multiply to give you the last number and add to give you the middle coefficient. Factor completely: Now, we will factor trinomials in which the first coefficient is NOT one. We will have to take this into account when we factor. 2x2 – 11x + 5 (2x )( x ) - 1 - 5 The only way to have a product of five is -5 times -1. How can we arrange them to equal the original equation? #1
Factoring Trinomials This is largely a trial and error process. If you can’t make a factor work, consider if there’s more than one way to make your first term. Factor completely: 6x2 – 25x + 4 (6x )( x ) - 1 - 4 (2x )( 3x ) To have a product of four, I can multiply -4 and -1, -1 and -4, or -2 and -2. Which way will work? #2
Factoring Trinomials Factor completely: 5x2 – 31x + 6 (5x )( x ) - 1 - 6 To have a product of six, I can multiply-1 and -6, -6 and -1, -2 and -3, or -3 and -2. Which way will work? #3
Factoring Trinomials Factor completely: 3x2 – 22x + 7 (3x )( x ) - 1 - 7 #4
Factoring Trinomials Factor completely: 4x2 – 9x + 2 (2x )( 2x ) (4x )(x ) - 1 - 2 #5