Question

-Find the quadratic polynomial whose sum and product of the zeros are respectively (a)-8/3, 4/3 (b)-1/4, 1/4

Answer 1

Step-by-step explanation:

1. alpha + beta = -8/3

-b/a= -8/3

(alpha)(beta)= 4/3

c/a= 4/3

general form of quadratic polynomial

ax²+bx+c=0

3x²+8x+4 = 0

2. alpha+ beta = -1/4

-b/a = -1/4

(alpha)(beta)= 1/4

c/a= 1/4

required quadratic polynomial is 4x²+x+1= 0