Question

write a quadratic polynomial sum of whoes number is 4 and product is1​

Answer 1

Answer:

Given ,Sum of roots=α+β=a−b=2

Product of roots=αβ=ac=3

Polynomial: p(x)=x2−(α+β)x+αβ=0

p(x)=x2−2x+3

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

Answer 2

Answer:

x square-4x+1 is the quadratic equation