Write the quadratic equation whose roots are - 5 - 4 and whose leading coefficient is 4

y = 4x² + 36x + 80

Step-by-step explanation:

Since the roots are x = - 5 and x = - 4 then the factors are

(x + 5) and (x + 4)

The equation is the product of the factors

y = (x + 5) (x + 4) and with leading coefficient of 4 is

y = 4 (x + 5) (x + 4) ← expand factors

= 4 (x² + 9x + 20)

= 4x² + 36x + 80