Question

The zeroes of a polynomial x² + px + q are twice the zeroes of the polynomial 4x² - 5x - 6. The value of p is ______.

विकल्प

• `-5/2`

• `5/2`

• -5

• 10

Answer 1

The zeroes of a polynomial x² + px + q are twice the zeroes of the polynomial 4x² - 5x - 6. The value of p is `underline(-5/2)`.

Explanation:

Given polynomials are:

x² + px + q   ...(i) 

and 4x² - 5x − 6   ...(ii)

Zero of polynomial 4x² - 5x - 6 are:

x = 2 and `x = -3/4`

Now, zero of polynomial x² + px + q are 4 and `-3/2`

∴ Sum of zeroes = `-p/1  "i.e.,"  4 - 3/2 = -p/1`

or, `5/2 = -p/1`

or, `p = -5/2`