Question

FInd a quadratic polynomial, whose sum and product of whose zeroes are root 2 ans -3/2

Answer 1

Answer:

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

Let f(x)=k{x

2

−(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[x

2

−(−3)x+2]=k[x

2

+3x+2] (∵k=real number)

Thus required polynomial f(x)=x

2

+3x+2