Question

The solutions to a certain quadratic equation are x = -4 and x = 3. Write the equation in standard form below.

Answer 1

y = x² + x - 12

Explanation:

Given the solutions are x = - 4 and x = 3, then the factors are

x(x - (- 4)) and (x - 3), that is (x + 4) and (x - 3)

The equation is then the product of the factors

y = (x + 4)(x - 3) ← expand using FOIL

= x² - 3x + 4x - 12

= x² + x - 12 ← in standard form