verify whether 1/2 and -1 are zeroes of the polynomial f(x)2xsquare+x-1
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p(x) = 2x² + x - 1
Zeroes given: 1/2 and -1
If the given zeroes are actually the zeroes of p(x) then p(1/2) and p(-1) must be equal to zero.
p(1/2):
==> 2(1/2)² + (1/2) - 1
==> 2×1/4 + 1/2 - 1
==> 1/2 + 1/2 - 1
==> 1 - 1
==> 0
p(-1):
==> 2(-1)² + (-1) - 1
==> 2 - 1 - 1
==> 2 - 2
==> 0
Since, p(1/2) and p(-1) equals to zero, Hence 1/2 and -1 are the zeroes of polynomial p(x)
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