Q. 44.4( 71 Votes )

If f(x) = 3x4 – 2x3 + 2x + 1. Find the value of f(1) – f(0).

Answer :

Concept Used:


For a polynomial, f(1) equals to the value of f(x) when x = 1.


Explanation:


f(x) = 3x4 – 2x3 + 2x + 1


f(1) = 3(1)4 – 2(1)3 + 2.1 + 1 = 3 – 2 + 2 + 1 = 4


f(0) = 3(0)4 – 2(0) + 2. 0 + 1 = 1


f(1) – f(0) = 4 – 1 = 3


Hence, f(1) – f(0) = 3


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