check whether -2√2 is zero of the polynomial x squad +√2x-4
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Put x= -2√2 in x²+√2x-4
so, =(-2√2)²+√2(-2√2)-4
=8-8-4
=0-4
= -4
Since the remainder is -4 which is not equal to zero, -2√2 is not the zero of the given polynomial.
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