Question

which of
$\sqrt{2}$
and 2is a zero of the polynomial p(x)=
${x}^{3} - 2x$
why?

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Answer 1

root 2 is the zero of the polynomial because when we substitute root 2 in the place of x the answer is zero

Answer 2

Answer:

√2.

Step-by-step explanation:

If X = √2

x³ - 2x should be equal to 0

Put the value of "x" in the equation.

(√2)³ - 2(√2) = 0

2√2 - 2√2 = 0

Hence, 0 = 0.

Now, put the value of x as 2

(2)³ - 2(2) = 0

8 - 4 = 0

4 ≠ 0

Hence , √2 is the zero of the given polynomial.