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If both $x = 2$ and $x = - 2$ are zeroes of p $(x)$ , which factor must p $(x)$ contain?

Class 10Zeroes of a PolynomialAlgebra — Polynomials

A $x^{2} - 4$
B $x^{2} + 4$
C $x - 4$
D $x + 4$

Step-by-Step Solution

Zeroes 2 and -2 correspond to factors

(x - 2)

and

(x + 2)

. Their product is

x^{2} - 4

.

Answer: A)

x^{2} - 4

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