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