x4−5x2+4 এর উৎপাদক কোনটি?
Solution
Correct Answer: Option C
x4−5x2+4
=(x2)2−5(x2)+4
ধরি, x2=a
তাহলে, a2−5a+4
=a2−4a−a+4
=a(a−4)−1(a−4)
=(a−4)(a−1)
a এর মান x2 বসিয়ে পাই, =(x2−4)(x2−1)
=(x2−22)(x2−12)
=(x−2)(x+2)(x−1)(x+1)
=(x2)2−5(x2)+4
ধরি, x2=a
তাহলে, a2−5a+4
=a2−4a−a+4
=a(a−4)−1(a−4)
=(a−4)(a−1)
a এর মান x2 বসিয়ে পাই, =(x2−4)(x2−1)
=(x2−22)(x2−12)
=(x−2)(x+2)(x−1)(x+1)
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