Question:উৎপাদকে বিশ্লেষণ কর: `x^3 + 2x^3 - 5x - 6`
Answer ধরি, `f(x) = x^3 + 2x^2 - 5x - 6` তাহলে, `f(2) = (2)^3 + 2(2)^2 - 5(2) - 6` = 8 + 2.4 - 10 - 6 = 8 + 8 - 10 - 6 = 0 `:. (x - 2), f(x)` এর একটি উৎপাদক। এখন, `x^3 + 2x^2 - 5x - 6` `= x^3 - 2x^2 + 4x^2 - 8x + 3x - 6` `= x^2 (x - 2) + 4x (x - 2) + 3(x - 2)` `= (x - 2) (x^2 + 4x + 3)` `= (x - 2) (x^2 + 3x + x + 3)` `= (x - 2) {x (x + 3) + 1(x + 3)}` `= (x - 2) (x + 3) (x + 1)` `= (x - 2) (x + 1) (x + 3)` (Ans)
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utpadoke bisholeshn karo: `x^3 + 2x^3 - 5x - 6`