Question

Write a quadratic equation with the given solutions below such that the terms of the quadratic contain no common factors.

-3,1

Answer 1

x² +2x -3 = 0

Explanation:

Given the zeros of a quadratic function the factored form is easily found. There is a factor (x -p) for each zero x = p. Here, the factored form of the function is ...

0 = (x -(-3))(x -1) = (x +3)(x -1)

In standard form, this is ...

x(x -1) +3(x -1) = 0

x² +2x -3 = 0 . . . . . . the terms have no common factors