How do I write the quadratic equation whose roots are 4 and

How do I write the quadratic equation whose roots are -4 and 1 and the leading coefficient is 1?

Solution

Given that -4 and 1 are roots

==> Quadratic equation is f(x) = (x - (-4)) (x - 1)

==> f(x) = (x + 4)(x - 1)

==> f(x) = x(x) + x(-1) + 4(x) + 4(-1)

==> f(x) = x² + 3x -4

Hence quadratic equation with roots -4 and 1 and the leading coefficient 1 is x² + 3x -4