Question

Write a quadratic polynomial, sum of whose zeroes is − and product is -1.​

Answer 1

Answer:

Answer

Open in answr app

If zeros of quadratic polynomial f(x) are know, then find required polynomial by following formula 

Let f(x)=k{x2−(sum of zeros)+x+product of zeros}, 

where k=a real number

Let f(x) be a polynomial

Sum and product of whose zeros are −3 and 2 respectively

f(x)=k[x2−(−3)x+2]=k[x2+3x+2] (∵k=real number)

Thus required polynomial f(x)=x2+3x+2