Question

If p(x) = 2x^4 + 6x^3 + 5 , what is the value of p (10) ?​

Answer 1

The value of the polynomial p(x) = 2x^4 + 6x^3 + 5 when x = 10 is calculated by substituting 10 into the polynomial and then summing up the terms, resulting in p(10) = 26,005.

Step-by-step explanation:

To calculate the value of the polynomial p(x) at x = 10, we need to substitute 10 for x in the given polynomial and perform the arithmetic operations. So, p(10) can be found using the following steps:

1. First, we substitute x with 10 in the polynomial p(x) = 2x^4 + 6x^3 + 5.
2. Then, we calculate each term: 2(10)^4 = 2 * 10,000 = 20,000, and 6(10)^3 = 6 * 1,000 = 6,000.
3. Next, we add all the terms together: 20,000 + 6,000 + 5 = 26,005.

Therefore, the value of p(10) is 26,005.