Find p(2) and p(4) for the function p(x) = 6x4 + 4x3 – 3x2 + 8x + 15.
Mathematics · College · Thu Feb 04 2021
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Given the function:
p(x) = 6x^4 + 4x^3 - 3x^2 + 8x + 15
Solve for p(2) and p(4)
Solution:
In order to sovle the given condition, we simply need to substitute the values of 2, and 4 to x in the function p(x) separately.
p(x) = 6x^4 + 4x^3 - 3x^2 + 8x + 15
p(2) = 6(2)^4 + 4(2)^3 - 3(2)^2 + 8(2) + 15
p(2) = 6(16) + 4(8) - 3(4) + 16 + 15
p(2) = 96 + 32 - 12 + 16 + 15
p(2) = 147
p(4) = 6(4)^4 + 4(4)^3 - 3(4)^2 + 8(4) + 15
p(4) = 6(256) + 4(64) - 3(16) + 32 + 15
p(4) = 1536 + 256 - 48 + 32 + 15
p(4) = 1791