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Mathematics
Mathematics
Problem
The graphs of two quadratic polynomials
p
(
x
)
p(x)
p
(
x
)
and
q
(
x
)
q(x)
q
(
x
)
are described below: (i) The graph of
p
(
x
)
p(x)
p
(
x
)
cuts the
x
x
x
-axis at two points. (ii) The graph of
q
(
x
)
q(x)
q
(
x
)
does not meet the
x
x
x
-axis at any point. Which polynomial has more real zeros and by how many?
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