Show that 2 and –
1
3
are zeroes of the polynomial 3x2
– 5x – 2.
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Answer:
only 2 is zero of polynomial
Step-by-step explanation:
for x = 2
p(x) = p(2) = 3(2)2 - 5(2) - 2 = 12 - 10 -2 = 0
Therefore, 2 is a zero of polynomial p(x).
for x = 1
p(x) = p(1) = 3(1)2 - 5(1) - 2 = 3 - 5 - 2 = -4
Therefore, 1 is not a zero of polynomial p(x).
for x = 3
p(x) = p(2) = 3(3)2 - 5(3) - 2 = 27 - 15 - 2 = 10
Therefore, 3 is not a zero of polynomial p(x)
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