Question

The value of k for which sum of the zeroes of the polynomial p(x) = 3x² – kx + 6 is 2, is ______.

Options

• 2

• –6

• –2

• 6

Answer 1

The value of k for which sum of the zeroes of the polynomial p(x) = 3x² – kx + 6 is 2, is 6.

Explanation:

p(x) = 3x² – kx + 6

Sum of zeroes = α + β 

= `(-b)/a`

= `(-(-k))/3`

`2 = k/3`

k = 6