If the sum of the zeroes of the polynomial f(x) = 2x³ – 3kx² + 4x – 5 is 6, then the value of k is
Question
(a) 2
(b) 4
(c) -2
(d) -4
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Class 10 Maths
3 years
2021-12-26T07:32:19+00:00
2021-12-26T07:32:19+00:00 1 Answer
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Answer ( 1 )
Answer. (B)
Explanation:
Given, f(x) = 2×3 – 3kx2 + 4x – 5 Sum
of the zeros of the polynomial = 6
Let x, y and z be the zeroes than, x + y + z = 6……Equation (i) So, x + y + z
= – b/a = – ( – 3k)/2 From Eq. (i) we
get, 3k/2 = 6 k/2 = 6/3 k = 2×2 = 4.