Define the value of a polynomial at a point.

The value of a polynomial at a point is the result you get when you substitute the value of the variable (usually denoted as "x") into the polynomial expression and perform the necessary operations.

A polynomial is generally written as:

P(x) = a_n * x^n + a_(n-1) * x^(n-1) + ... + a_1 * x + a_0

Where:

P(x) is the polynomial function.
a_n, a_(n-1), ..., a_1, a_0 are the coefficients of the polynomial.
x is the variable.
n is the degree of the polynomial (the highest power of x).
To find the value of the polynomial at a specific point "x = c", substitute the value of x = c into the polynomial and simplify the expression:

P(c) = a_n * c^n + a_(n-1) * c^(n-1) + ... + a_1 * c + a_0

This gives the numerical value of the polynomial at the point c.

Example: Let P(x) = 3x^3 - 5x^2 + 2x - 4, and we want to find the value of this polynomial at x = 2.

P(2) = 3(2)^3 - 5(2)^2 + 2(2) - 4 P(2) = 3(8) - 5(4) + 2(2) - 4 P(2) = 24 - 20 + 4 - 4 P(2) = 4

So, the value of the polynomial at x = 2 is 4.