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Question:উৎপাদকে বিশ্লেষণ কর: 4x4+12x3+7x2-3x-2 

Answer ধরি, f(x)=4x4+12x3+7x2-3x-2 তাহলে, f(-1)=4(-1)4+12(-1)3+7(-1)2-3(-1)-2 =4.1+12(-1)+7.1-3(-1)-2 = 4 - 12 + 7 + 3 - 2 = 14 - 14 = 0 :. {x - (- 1)} = (x + 1), f(x) এর একটি উৎপাদক। এখন, x4+12x3+7x2-3x-2 =4x4+4x3+8x3+8x2-x2-x-2x-2 =4x3(x+1)+8x2(x+1)-x(x+1)-2(x+1) =(x+1)(4x3+8x2-x-2) =(x+1){4x2(x+2)-1(x+2)} =(x+1)(x+2)(4x2-1) =(x+1)(x+2){(2x)2-12} =(x+1)(x+2)(2x+1)(2x-1) = (2x - 1) (x + 1) (x + 2) (2x + 1)(Ans) 

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utpadoke bisholeshn karo: 4x4+12x3+7x2-3x-2
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