Question

Find the quadratic polynomial whose 0s and 2 and -6 respectively verify the relationship between co efficient 0 s of polynomial

Answer 1

alpha=2
beta=(-6)
alpha+beta=2-6=(-4)
alpha×beta=(-12)

k{x^2 - (sum)x + product}
k{x^2+4x-12}

quadratic polynomial
= x^2 + 4x - 12
a=1
b=4
c=(-12)

-b/a=(-4/1)= -4 =alpha+beta
c/a=(-12/1) = -12=alpha×beta