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Question

Divide
x2+11x+28x24x77÷x2+7x+12x22x15

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Solution

x2+11x+28x24x77÷x2+7x+12x22x15=x2+4x+7x+28x211x+7x77×x25x+3x15x2+4x+3x+12=x(x+4)+7(x+4)x(x11)+7(x11)×x(x5)+3(x5)x(x+4)+3(x+4)=(x+4)(x+7)(x+7)(x11)×(x+3)×(x5)(x+3)(x+4)=x5x11

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