SOLUTION: Find a quadratic equation whose root are 2and5

Hi,

The factor theorem states that a polynomial f(x) has a factor (x − k) if and only if f(k) = 0.

root are 2 and 5, therefore: (x-2) and (x-5) are factors

y = (x-2)(x-5)

y = x^2 - 7x + 10