Question

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Which of √2 and 2 is a zero of the polynomial p(x)=x^3-2x? Why?​

Answer 1

Answer:

IF BOTH ARE ZEROS OF P(X) THEN IT MUST BE EQUAL TO THE ZERO

x=√2 and x=2

if x=√2

p(x) = x^3-2x

p(√2)= (√2)^3 - 2×√2

0= 2√2 - 2√2

0=0

YES √2 IS A ZEROS OF P(X)

if x=2

p(2)= (2)^3-2×2

0=8-4.

0=4

NO 2 IS NOT A ZEROS OF P(X)