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The graph of $p (x) = x^{2}$ passes through the origin. How many zeroes does it have, and what is the zero?

Class 10Graphical Meaning of ZeroesAlgebra — Polynomials

AOne zero, $x = 0$ (repeated)
BTwo zeroes, $x = 0$ and $x = 1$
CNo zero
DTwo zeroes, $x = 1$ and $x = - 1$

Step-by-Step Solution

x^{2} = 0

gives

x = 0

twice; the parabola touches the

x

-axis only at the origin, so there is one repeated zero at

x = 0

.

Answer: A) One zero,

x = 0

(repeated)

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