1.

If (3x-2) is a factor of 3xcube - Kxsquare +21x-10, find the value of K

Answer»

Hey!!!!

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GIVEN

=> (3x - 2) is a factor of 3x³ - kx² + 21x - 10

Thus => 3x - 2 = 0

=> X = 2/3 is a Zero of the polynomial

=> 3(2/3)³ - k(2/3)² + 21(2/3) - 10 = 0

=> 3(8/27) - 4k/9 + 14 - 10 = 0

=> 8/9 - 4k/9 + 4 = 0

=> (8 - 4k)/9 = -4

=> 8 - 4k = -36

=> k = 44/4

=> k = 11

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Hope this helps you



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