How do I write the quadratic equation whose roots are 5 and

How do I write the quadratic equation whose roots are -5 and -1 and the leading coefficient is 3?

Solution

given  roots are -5 and -1 and the leading coefficient is 3

quadratic equation with roots -5 and -1 is (x-(-5))(x-(-1))=0

quadratic equation with roots -5 and -1 is (x+5)(x+1)=0

quadratic equation with roots -5 and -1 is x²+6x+5=0

given leading coefficient is 3 , so multiply by 3 on both sides

quadratic equation is 3(x²+6x+5=0)

quadratic equation is 3x²+18x+15=0