Write the quadratic equation whose roots are -4 and -6, and whose leading coefficient is 1
the roots are -4 and -6
Therefore two factors are (x + 4) and (x + 6).
The equation from which these two factores are derived can be given be the product of the two factors, viz.
(x + 4)(x + 6) = 0
Any constant multiple of the above product is also a possible solution, i.e.
C*(x + 4)(x + 6) = 0
Multiplying out gives,
C*(x*2 + 10x + 24) = 0
If we set C = 1, then this quadratic would have a leading coefficient of 1.
The quadratic then is: x^2 + 10x + 24 = 0