Question

find the quadratic polynomial whose zeros are 2/3 and-1/4. verify the relation between the coefficient and the zeros of the polynomial.

Answer 1

HOPE IT WILL BE HELPFULL

Answer 2

Given :-

alpha = 2/3

beta = -1/4

x = 2/3, x = -1/4

→ (3x - 2)(4x + 1)

→ 12x² + 3x - 8x - 2

→ 12x² - 5x - 2

a = 12

b = -5

c = -2

Verification :-

alpha + beta = -b/a

=> 2/3 + (-1/4) = -(-5/12)

=> 2/3 - 1/4 = 5/12

=> (8 - 3)/12 = 5/12

=> 5/12 = 5/12

AND,

alpha × beta = c/a

=> 2/3×-1/4 = -2/12

=> -2/12 = -2/12