Final answer:
To solve for various aspects of a quadratic polynomial with 3 points, use a calculator to find the leading coefficient, discriminant, vertex, and factors.
Step-by-step explanation:
For a quadratic polynomial with 3 points, you can use a calculator to perform various calculations:
- To solve for the leading coefficient, set up a system of equations using the three points and solve for the coefficient.
- To find the discriminant, use the formula D = b^2 - 4ac, where a, b, and c are the coefficients of the quadratic polynomial.
- To determine the vertex, use the formula x = -b / (2a) for the x-coordinate and substitute it into the polynomial to find the y-coordinate.
- To factor the polynomial, first find the roots using the quadratic formula or by factoring, then use the roots to write the polynomial in factored form.