Question

The quadratic polynomial f(x)=x^2+bx+c has roots at -3 and 1. What are the values of b and c?

Answer 1

-b is the sum of the roots, c is the product of the roots.

Sum of the roots is -3 + 1 = -2, so:

-b = -2
b = 2

Product of the roots is -3*1 = -3 so:

c = -3

Therefore the answer is:

\[x^2+2x-3\]