The only possible integer zeros of $p(x) = 2x^5 - bx^3 + 4x - 2$ are 1 and 2.

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The Rational Root Theorem suggests that the possible rational zeros of a polynomial are given by the factors of the constant term divided by the factors of the leading coefficient. For $p(x) = 2x^5 - bx^3 + 4x - 2$, the constant term is -2 and the leading coefficient is 2. Therefore, the possible integer zeros are ±1, ±2, ±(2/2), which simplifies to ±1, ±2. This means -1 is also a possible integer zero, not just 1 and 2.

The Only Possible Integer Zeros Of p(x)=2x5−bx3+4x−2p(x) = 2x^5 - bx^3 + 4x - 2p(x)=2x5−bx3+4x−2

The Only Possible Integer Zeros Of $p(x) = 2x^5 - bx^3 + 4x - 2$