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This rational expression is already factored (written as multiplication), Cancel identical factors on the top and bottom X2+7x+12 X2+5x+6 Rational expressions need to be 1. FACTORED and then 2. CANCELED X2+7x+12 (x+7)(x+1) (x-6)(x-1) (x-3)(x-4) (x+3)(x+4) Factors to: X2+7x+12 X2+5x+6 Rational expressions need to be 1. FACTORED and then 2. CANCELED (x+3)(x+4) (x+6)(x+1) (x+3)(x+2) (x-6)(x-1) (x-3)(x-2) X2+5x+6 Factors to: X2+7x+12 X2+5x+6 Rational expressions need to be 1. FACTORED and then 2. CANCELED (x+3)(x+4) (x+3)(x+2) x+3 x+3 x+2 x+4 Click ALL the boxes next to the factors that cancel X2+7x+12 X2+5x+6 Simplified Answer: Rational expressions need to be 1. FACTORED and then 2. CANCELED (x+2) (x+4) (x+3)(x+4) (x+3)(x+2) Click ALL the boxes next to the factors that cancel Recap: simplify Factor ? Cancel ? X2+7x+12 X2+5x+6 Answer ? X2+7x+10 X2+8x+15 Rational expressions need to be 1. FACTORED and then 2. CANCELED X2+7x+10 (x+7)(x+10) (x+1)(x+10) (x+5)(x+2) (x+5)(x+5) Factors to: X2+7x+10 X2+8x+15 Rational expressions need to be 1. FACTORED and then 2. CANCELED (x+5)(x+2) X2+8x+15 (x+3)(x+8) (x+3)(x+5) (x+1)(x+15) (x+5)(x+10) Factors to: X2+7x+10 X2+8x+15 Rational expressions need to be 1. FACTORED and then 2. CANCELED (x+5)(x+2) (x+3)(x+5) x+5 x+3 x+5 x+2 Click ALL the boxes next to the factors that cancel X2+7x+10 X2+8x+15 Rational expressions need to be 1. FACTORED and then 2. CANCELED Simplified Answer: (x+3) (x+2) (x+5)(x+2) (x+3)(x+5) Click ALL the boxes next to the factors that cancel Any top factor can be canceled with a bottom factor ? Match each fraction part with the correct factor (x+4)(x-4) ? 3x - 12 x2 - 16 (3)(x-4) ? * x2+x-12 (x+4)(x-3) ? (x+3)(x-3) ? x2 - 9 Check off all factor pairs that cancel (x+4)(x-4) (3)(x-4) 3 x+4 x-4 x-4 * (x+3)(x-3) (x+4)(x-3) x+3 x+4 x-3 x-3 Simplified Answer: (x+4)(x-4) (3)(x-4) * (x+3) (x+3)(x-3) (x+4)(x-3) Can the 3's be simplified? Yes No, you can only simplfy (FACTORS), Simplified Answer: (x+3) 3 Can the 3's be simplified? No, you can only simplfy (FACTORS), Simplified Answer: (x+3) 3 Which of these can be simplified? 7/7x Every sum/difference is one (FACTOR) (7)(x) (7) 7/7+x 7-x/x (7+x) (7-x) (7) (x) Which of these can be simplified? Every sum/difference is one (FACTOR) (7)(x) (7) 7-x/x (7+x) (7-x) (7) (x) Which of these can be simplified? 7/7x Every sum/difference is one (FACTOR) x(x-4) x 7/7+x 7-x/x (x+3)(x-4) (x-4) x x Only this fraction has identical (factors) on the top and bottom x(x-4) x = (x-4) Only this fraction has identical (factors) on the top and bottom x(x-4) x = (x-4) 1 (t)(h)(e) (e)(n)(d) |