Question

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

A. abc=540

B. abc=630

C. abc=720

D. abc=810

Answer 1

To find the value of the product abc, we need to first determine the values of a, b, and c using the given information about the quadratic polynomial p(x).

Step-by-step explanation:

To find the values of a, b, and c, we can use the given information about p(x).

Using the equation p(0)=4, we know that substituting x=0 into the quadratic equation gives us c=4.

Similarly, using the equations p(1)=15 and p(2)=36, we can substitute x=1 and x=2 to get two equations involving a and b.

By solving these equations simultaneously, we can find the values of a and b. Once we have found the values of a, b, and c, we can calculate the product abc.