Question

(3) construct a quadratic equation
For -1/3 and -2/3

Answer 1

y = 9x² +9x +2

Explanation:

You want a quadratic equation with roots -1/3 and -2/3.

Factors

When p is a root of a polynomial, x-p is a factor. That means your quadratic will have factors (x -(-1/3)) and (x -(-2/3)). If we want integer coefficients, we can multiply each of these by 3:

y = (3x+1)(3x+2)

y = 9x² +9x +2 . . . . . . the result of multiplying it out