Question

if a and b are the zeros of the polynomial such that a+b=6 and ab=4 then write the quadratic polynomial

Answer 1

if a+b=6

and ab =4.

then we can form the quadratic equation with a simple formula.

x^2 + (a+b)x+ab=0

x^2 + 6x +4=0

Answer 2

we can find with the simple formula

x^2+(a+b)x+ab

so that, a+b=6 and ab=4

apply the formula

x^2+6x+4.