Question

2. Write a quadratic equation with 3 and 6 as its roots. Write the equation in the

form ax2+bx+c = 0, where a, b, and c are integers.

Answer 1

x^2 - 9x + 18 = 0

Explanation:

(x-3)(x-6) = 0

x^2 -6x - 3x + 18 = 0

x^2 - 9x + 18 = 0

Answer 2

x² - 9x + 18 = 0

Explanation:

given a quadratic with roots x = a and x = b then the factors are

(x - a) and (x - b) and the equation is the product of the factors

here roots are x = 3 and x = 6 then the factors are (x - 3) and (x - 6), then

(x - 3)(x - 6) = 0 ← expand factors using FOIL

x² - 9x + 18 = 0