Question

the sum of zeroes and product of zeroes of a polynomial is -5,3 respectively. find the equation​

Answer 1

Answer:

Step-by-step explanation:

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  -5 and 3 respectively

f(x)=k[x  2 −(−5)x+3]=k[x  2 +5x+3] (∵k=real number)

Thus required polynomial f(x)=x  2+5x+3