find the value of k if x -3 is a factor of
class - 9
polynomials
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Let p(x) = k²x³ - kx² + 3kx - k
Given x - 3 is a factor of k²x³ - kx² + 3kx - k
Then x - 3 = 0
=> x = 3 is a zero of the p(x)
Then p(3) = 0
=> k²(3)³ - k(3)² + 3k(3) - k = 0
=> 27k² - 9k + 9k - k = 0
=> 27k² - k = 0
=> k(27k - 1) = 0
Case 1, k = 0 <<<<< Answer
Case 2, 27k - 1 = 0
=> k = 1/27 <<<<<< Answer
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Hope this helps ✌️
Good Morning
_________________
Let p(x) = k²x³ - kx² + 3kx - k
Given x - 3 is a factor of k²x³ - kx² + 3kx - k
Then x - 3 = 0
=> x = 3 is a zero of the p(x)
Then p(3) = 0
=> k²(3)³ - k(3)² + 3k(3) - k = 0
=> 27k² - 9k + 9k - k = 0
=> 27k² - k = 0
=> k(27k - 1) = 0
Case 1, k = 0 <<<<< Answer
Case 2, 27k - 1 = 0
=> k = 1/27 <<<<<< Answer
______________
Hope this helps ✌️
RishabhBansal:
hey idiot STOP CHATTING HERE
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