Final answer:
To find p(4) for the polynomial p(x) = 2x⁴ - 3x² + 4x - 1, substitute 4 into the polynomial and calculate the result, which is 479.
Step-by-step explanation:
To find p(4) when p(x) is given as p(x) = 2x⁴ - 3x² + 4x - 1, we need to substitute x = 4 into the polynomial.
Filling in x with 4 gives us:
p(4) = 2(4)⁴ - 3(4)² + 4(4) - 1
We then calculate each term:
2(4)⁴ is 2 * 256 = 512
-3(4)² is -3 * 16 = -48
4(4) is 16
And we subtract 1 at the end
Adding these up, p(4) = 512 - 48 + 16 - 1 = 479. Therefore, p(4) is 479.