Write down the quadratic equation whose roots are x = -7 and x = \(8\) and the coefficient of x^2 is 1.
Enter your answer in the form "x^2 + bx + c = 0".
the roots are x = -7 and x = 8:
\((x+7)(x - 8)\)
\(= x^2 + 7x - 8x - 56\)
\(= x^2 - x - 56\)
(This expression can be expanded by using FOIL: First, Outer, Inner, Last.)
Because our equation's x^2 coefficient is already equal to 1, our answer is x^2 - x - 56 = 0.