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
