Question

Write the quadratic polynomial whose sum of zeroes is -3/2 and the product of zeroes is -1

Answer 1

Answer:

2x^2+3x-2

Step-by-step explanation:

sum of the zeroes = alpha+beta =-3/2

product of the zeroes =alpha×beta =-1

0=x^2-(alpha+beta)x+alpha×beta

0=x^2-(-3/2)x+(-1)

0=x^2+3/2x-1

0=2x^2+3x-2/2

2×0=2x^2+3x-2

0=2x^2+3x-2

The quadratic equation obtained is 2x^2+3x-2

Answer 2

alpha + beta = -3/2

alpha × beta = -1

x²-(alpha+beta)x+(alpha × beta)

x²-(-3/2)x+(-1)

x²+3/2x-1