Question

10. Which of √2and 2 is a zero of the polynomial p(x)= x³ – 2x ? Why?


plz give me correct ans with steps​

Answer 1

Step-by-step explanation:

p(√2) = (√2)³ - 2(√2)

=> 2√2 - 2√2 => 0

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

p(2) = 2³ - 2(2)

=> 8 - 4 = 4

as p(2) ≠ 0, 2 is not a zero of the polynomial