Question

The zeroes of the polynomial 3x² − 5x − 2, are ______.

Options

• `1/3, 2`

• `(-1)/3, 2`

• `(-1)/3, -2`

• `1/3, -2`

Answer 1

The zeroes of the polynomial 3x² − 5x − 2, are `\underlinebb((-1)/3, 2)`.

Explanation:

The given polynomial is 3x² − 5x − 2

To find the zeroes of the given polynomial let,

3x² − 5x − 2 = 0

⇒ 3x² − 6x + x − 2 = 0

3x (x − 2) + 1 (x − 2) = 0

(x − 2) (3x + 1) = 0

x − 2 = 0 or 3x + 1 = 0

x = 2 or x = `(-1)/3`

Therefore, the zeroes of the given polynomial are `(-1)/3` and 2.