Question

if the sum and product of zeros of a quadratic polynomial are -1/2 and 1/2 respectively , then find the polynomial​

Answer 1

Answer:

normal quadratic equation -

a(x²-(sum of zeroes)x+product of zeroes)

(x²+1/2x+1/2)/2

2x²+x+1

Answer 2

Answer:

2 x^2 -1 x +1=0

Step-by-step explanation:

1. ${x}^{2} + ( \alpha + \beta )x + \alpha \beta = 0$

${x}^{2} + ( - \frac{1}{2} )x + \frac{1}{2} = 0$

(x^2-1/2x+1/2=0) × 2

2x^2 -1x +1=0