Write the quadratic equation whose roots are -5 and 1 , and whose leading coefficient is 3.

Answer 1

Start with taking the roots and creating the factors

Root of -5 is a factor of (x+5)

Root of 1 is a factor of (x-1)

Bringing these together

y=(x+5)(x-1) Now FOIL

y=x²-x+5x-5

y=x²+4x-5

Lastly, multiply by 3 for the leading coefficient

y=3(x²+4x-5) Distribute

y=3x²+12x-15