If (t - 8) is a factor of t2 - kt - 48, then k = ?

If (t - 8) is a factor of t² - kt - 48, then k = ?

A -6

B -2

C 2

D 6

Solution

Correct Answer: Option C

Solution:

(t - 8) যেহেতু (t² - kt - 48) এর একটি উৎপাদক, তাই (t - 8) = 0 => t = 8 হবে ।

অতএব, t² - kt - 48 = 0 => 8² - 8k - 48 = 0 => 8k = 64 - 48 = 16 k = 2