Question

| Find the quadratic polynomial whose
Sum and products of zeros are 21/8 and 5/16

Answer 1

`16x^(2) -42x+5`

Explanation:

Sum of its zeroes=
`\alpha +\beta =(21)/(8) \\`

Product of its zeroes=
`\alpha \beta`=
`(5)/(16)`

Formula to form a quadratic polynomial:

`p(x)=k[x^(2) -(\alpha +\beta )x+\alpha \beta ]`

p(x)=
`k[x^(2) -((21)/(8) )x+(5)/(16)]`

p(x)=
`16[x^(2) -((21)/(8) )x+(5)/(16)]`

p(x)=
`[16x^(2) -42x+5]`

The quadratic polyniomial is
`16x^(2)-42x+5`