Question

find a quadratic polynomial whose sum of roots and product of roots 5 and 6 respectively​

Answer 1

Answer:

x^2-5x+6

Step-by-step explanation:

1. Let the polynomial be ax^2+bx+c
2. now, given that a+b=-b/a and a*b=c/a
3. putting the given values hence we get the equation.

Answer 2

Answer:

sum of roots is 5

product of roots is 6

let be 2 roots are A and B

A+B= -b/a = 5/1

AB= c/a =6/1

the quadratic equation is x*2+x(A+B)+AB

so x*2+x(5)+6

Therefore quadratic equation os x*2+5x+6

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