Question

The zeros of the polynomial `7x^2 - (11x)/3 - 2/3` are ______.

Options

• `2/3, (-1)/7`

• `2/7, (-1)/3`

• `(-2)/3, (1)/7`

• none of these

Answer 1

The zeros of the polynomial `7x^2 - (11x)/3 - 2/3` are `underlinebb(2/3, (-1)/7)`.

Explanation:

`7x^2 - (11x)/3 - 2/3 = (21x^2 - 11x - 2)/3`.

Now, 21x² – 11x – 2 = 21x² – 14x + 3x – 2

= 7x(3x – 2) + (3x – 2)

= (3x – 2)(7x + 1)

∴ The zeros are `2/3` and `(-1)/7`.