Question

Write a quadratic equation whose roots are -4 and one and who's leading coefficient is five

Answer 1

Step-by-step explanation:

- 4 and 1 are roots.

Therefore, (x + 4) & (x - 1) are factors and 5 is leading coefficient.

Therefore, required quadratic equation is:

$5 (x + 4) (x - 1) \\ = 5( {x}^{2} - x + 4x - 4) \\ = 5( {x}^{2} + 3x - 4) \\ = 5 {x}^{2} + 15x - 20$