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(x+1)(x+2)(x+3)(x+4)+1=0 |
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Answer» x^4+10x^3+50x^2+50x+25 Step-by-step explanation: (x+1)(x+2)(x+3)(x+4)+1=0 = (x^2+2x+x+2)(x^2+4x+3x+12)+1 = (x^2+3x+2)(x^2+7x+12)+1 = x^4+7x^3+12x^2+3x^3+21x^2+36x+2x^2+14x+24+1 = x^4+10x^3+50x^2+50x+24+1 = x^4+10x^3+50x^2+50x+25 |
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