Question

One of the zeroes of the polynomial p(x) = kx² – 9x + 3 is `(-3/2)`. The value of k is ______.

Options

• `22/3`

• `14/3`

• `-14/3`

• `-22/3`

Answer 1

One of the zeroes of the polynomial p(x) = kx² – 9x + 3 is `(-3/2)`. The value of k is `underlinebb(-22/3)`.

Explanation:

p(x) = kx² – 9x + 3

p(x) = 0

Putting value of x = `(-3/2)`

⇒ `k(-3/2)^2 - 9(-3/2) + 3 = 0`

⇒ `(9k)/4 + 27/2 + 3 = 0`

⇒ 9k + 54 + 12 = 0   ...(Multiply by 4)

⇒ 9k + 66 = 0

⇒ 9k = –66

⇒ k = `(-66)/9`

⇒ `k = (-22)/3`