3a³ + 7a² - 21a - 10 এর একটি উৎপাদক হচ্ছে-

A a + 2

B a - 2

C a + 1

D a - 1

Solution

Correct Answer: Option B

ধরি, f(a) = 3a³ + 7a² - 21a - 10
যদি a = 2 , তখন f(a) = 3.2³ + 7.2² - 21.2 -10 = 0
সুতরাং a=2 অথবা a - 2 =0  f(a) এর একটি ফাংশন।
∴ 3a³ + 7a² - 21a - 10
= 3a³ - 6a² + 13a² - 26a + 5a - 10
= 3a²(a - 2) + 13a(a - 2) + 5(a - 2)
= (a -2)(3a² + 13a + 5)

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