Question

construct the quadratic equation whose roots are -5 and-4

Answer 1

$x^{2} + ( \alpha + \beta )x + \alpha \beta \\ x { }^{2} - 5x - 4$
it is the required quadratic equation

Answer 2

You can use the formula of quadratic equation
X²-(sum of zeroes) x+product of zeroes
X²+5x-4