Question

Which of√2 and 2 is a zero of the polynomial p(X)=x³-2x? why?​

Answer 1

p(x) = x³ - 2x

p(√2) = (√2)³ - 2(√2)

= 2√2 - 2√2 = 0

p(2) = (2)³ - 2(2)

= 8 - 4 = 4

Since p(√2) = 0, √2 is a zero of the polynomial

Hope this helps ;D