Question

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

Answer 1

Answer:

√2 is zero (root) of polynomial P(x).

Step-by-step explanation:

For zero (root) of a polynomial, P(x) = 0

So,

$p( \sqrt{2} ) = ( \sqrt{2} )^{3} - 2 \times \sqrt{2} \\ = 2 \sqrt{2} - 2 \sqrt{2} = 0$

$p(2) = {2}^{3} - 2 \times 2 = 4$