Question

Find the quadratic polynomials whose zeros are given as
alpha + beta=2/3 and alpha × beta =-1/4​

Answer 1

Answer:

HELLO HERES THE ANSWER

Step-by-step explanation:

given that:-

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

HENCE, verified