Write the quadratic equation whose roots are 6 and 5, and whose leading coefficient is 3. (Use the letter x to represent the variable.)

Answer 1

Hi Steph M

If you are referring to this Quadratic Equation

f(x) = ax² + bx + c

FOIL can often be applied to Quadratics

a = 3

x intercepts are 6 and 5

The x intercepts and the roots listed in your equation are positive and a is positive

Then the factors by FOIL indicate that you have

3(x-5)(x-6)

Can you multiply through to get your quadratic equation?