Question

If p(x) = ax² + bx + c is a quadratic polynomial satisfying p(0) = 4, p(1) = 15, p(2) = 36, what is the value of the problem abc?

Answer 1

To find the value of abc, substitute the given conditions into the quadratic equation and solve for a, b, and c. The value of abc is -1396.0.

Step-by-step explanation:

To find the value of abc, we first need to determine the quadratic equation that satisfies the given conditions. Since p(0) = 4, p(1) = 15, and p(2) = 36, we can substitute these values into the quadratic equation and solve for a, b, and c.

Using the quadratic formula, we have: ax² + bx + c = 0

Substituting the given values: 4.90x² + 14.3x - 20.0 = 0

So, the value of abc is 4.90 * 14.3 * -20.0 = -1396.0