Question

Find the zeros of each of the following quadratic polynomials and verify the relationship between the zeros and their coefficients.
p(x) =x2 + 2√2x - 6
q(x) = √3x2 + 10x + 7√3
f(x) = x2 - (√3 + 1)x + √3
g(x) = a(x2 + 1) -x(a2 + 1)

Answer 1

Sum of the roots of x2 + 2√2 x - 6 = -2√2 / 1= -2√2
Product of the roots of x2 + 2√2 x - 6 = -6 / 1 = -6

Sum of the roots of the quadratic equation ax2 + bx + c = 0 is -b/a.
Product of the roots of the quadratic equation ax2 + bx + c = 0 is c/a.