Final answer:
The values of a, b, and c in a polynomial p(x) represent the coefficients in the quadratic equation p(x) = ax^2 + bx + c. If p(x) is divisible by (x - c), it means that c is a root of the polynomial. Additionally, using a = 3, b = 13, and c = -10 in the quadratic formula leads to the roots of that particular polynomial.
Step-by-step explanation:
If a polynomial p(x) is divisible by (x - c), it means that when you substitute c into the polynomial, the result should be zero, since c is a root of the polynomial. In other words, p(c) = 0. If you're given the constants in a quadratic equation a = 1.00, b = 10.0, and c = -200, these values represent the coefficients of the polynomial in the standard quadratic form p(x) = ax^2 + bx + c.
Now, the equation you've mentioned seems to be referring to the values of the coefficients a, b, and c in a different context. If they're talking about the general quadratic formula to find the roots of a quadratic equation, then the formula is x = (-b ± √(b^2 - 4ac))/(2a). By substituting a = 3, b = 13, c = -10 into the quadratic formula, we work out the solution for the roots of a given polynomial.