Write a quadratic equation with integer coefficients and the given numbers as solutions.

1. 2 and 5

2. 0 and 5

3. - 3/4 and 2

4. 1/2 and 1/3

1.) f (x) = x*x - 7x + 10

2.) f (x) = x*x - 5x

3.) f (x) = 4*x*x - 5x - 6

4.) f (x) = 6*x*x - 5x + 1

Step-by-step explanation:

1.) 2 and 5 (x - 2) (x - 5) = f (x) = x*x - 7x + 10

2.) 0 and 5 f (x) = x * (x - 5) = x*x - 5x

3.) - 3/4 and 2 (x + 3/4) (x - 2) = x*x - (5/4) x - 3/2,

need integers f (x) = 4xx - 5x - 6

4.) 1/2 and 1/3 (x - 1/2) (x - 1/3) = f (x)

x*x - 1/3 x - 1/2 x + 1/6

xx - 5/6 x + 1/6

6 xx - 5x + 1