Question

Write a quadratic equation in the form ax^2+bx+c=0 with roots of -4 and 5

Answer 1

Step-by-step explanation:

- 4 & 5 are roots

Therefore, (x + 4) & (x - 5) are factors.

Required quadratic equation is given as:

$(x + 4) (x - 5) \\ = x(x - 5) + 4(x - 5) \\ = {x }^{2} - 5x + 4x - 20 \\ = {x}^{2} - x - 20$