Question

Find the zeroes of the quadratic polynomial and verify the relation between the zeroes and the coefficients 4x^2-4x-15

Answer 1

Solution : -

Given : -

Find the zeroes of the quadratic polynomial and verify the relation between the zeroes and the coefficients 4x^2-4x-15 .

To Find : -

Zeroes of quadratic polynomial.

Step-by-step Explanation : -

4x² - 4x - 15

4x² - 10x + 6x - 15

2x(2x - 5) + 3(2x - 5)

(2x + 3) (2x - 5)

=> x = 2x + 3 = 0

2x = -3

x = -3/2

=> x = 2x - 5 = 0

2x = 5

x = 5/2

Sum of Zeroes : -

-3/2 + 5/2 = -(-4)/4

-3 + 5/2 = 4/4

1 = 1

Roots Of Zeroes : -

-3/2 × 5/2 = -15/4

-15/4 = -15/4