Question

If a quadratic polynomial y ax2+bx+c intersect x axis at alpha beta then

Answer 1

Answer:

Step-by-step explanation:

If a quadratic polynomial y ax2+bx+c intersect x axis at alpha beta then

X axis intersection point y = 0

For x = alpha and beta y = 0

This mean

Alpha and beta are roots of the equation

(x - alhpa)(x - beta) = 0

x^2 -x(alpha + beta) + alphabeta = 0

ax^2 + bx + c = 0

Dividing by a

x^2 + bx/a + c/a = 0

Comparing both

Alpha + beta = -b/a

AlphaBeta = c/a