Question

The zeroes of the polynomial 3x² + 11x – 4 are ______.

Options

• `1/3, -4`

• `(-1)/3, 4`

• `1/3, 4`

• `(-1)/3, -4`

• `-1/3, -4`

Answer 1

The zeroes of the polynomial 3x² + 11x – 4 are `underlinebb(1/3, -4)`.

Explanation:

Let be F(x) = 3x² + 11x – 4

F(x) = 3x² + 12x – x – 4

F(x) = 3x(x + 4) –1 (x + 4)

F(x) = (x + 4) (3x – 1)

Put both the factors equal to zero.

x + 4 = 0, x = – 4

3x – 1 = 0, x = `1/3`

The zeroes of the polynomial 3x² + 11x – 4 are `1/3` and –4.