Question

. If α and β are the zeros of the quadratic polynomial f(x) = 3x2 -4x +1, find a quadratic polynomial whose zeros are( ) 2 and( ) 2

Answer 1

Answer:

3x2-8x+4

Step-by-step explanation:

the zeores of f(x) is 1 and 1/3

sum of zeros of the quadratic polynomial= 2( 1+1/3)

= 8/3. ------------- eq 1

product of zeros = 2(1).2(1/3)

= 4/3 -------------eq 2

from eq1 and eq 2

as

sum of the zeros = - b/a

product of zeros = C/a

b = -8

a= 3

c= 4

wkt

quadratic equation = ax2 +bx + c

therefore

quadratic equation = 3x2-8x+4