Is 3/5 a zero of f(x)= 2x6 – 5x4 + x3 – x + 1? Explain

Solution:

f(x) = 2x^6 -5x^4 +x^3 -x +1

To identify if x = 3/5 is a zero of f(x), we need to calculate if f(3/5)=0

f(3/5) = 2(3/5)^6 -5(3/5)^4 +(3/5)^3 -(3/5) +1 = 0.061, not equal to 0

So

f(3/5) is not equal to 0

So 3/5 is not a zero of f(x)