write the quadratic equation whose roots are 3 and -4, and whose leading coefficient is 3

Answer 1

Given  roots are 3 and -4 and the leading coefficient is 3.

Quadratic equation with roots 3 and -4 is (x-(3))(x-(-4))=0

Quadratic equation with roots 3 and -4 is (x-3)(x+4)=0

Quadratic equation with roots 3 and -4 is x²+x-12=0

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

Quadratic equation is 3(x²+x-12=0)

Quadratic equation is 3x²+3x-36=0