SOLUTION:

Question 1186822:
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!
Write the quadratic equation whose roots are −3 and − 4, and whose leading coefficient is 4. (Use the letter x to represent the variable.)

If the leading coefficient were 1 and not 4, the quadratic equation would be:

 

So we begin by finding that:

SUM OF ROOTS = (-3) + (-4) = -7

PRODUCT OF ROOTS (-3)(-4) = 12

So with leading coefficient 1, the answer would be 



simplify

 

To make it have leading coefficient of 4, simply multiply through by 4:



Edwin