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By the Factor Theorem, $(x - a)$ is a factor of a polynomial p $(x)$ if and only if which condition holds?

Class 9Factor Theorem and FactorisationPolynomials

A $p (a) = 0$
B $p (0) = a$
C $p (a) = 1$
D $p (- a) = 0$

Step-by-Step Solution

Factor Theorem:

(x - a)

is a factor of p

(x)

exactly when the remainder p(a) equals 0.

Answer: A)

p (a) = 0

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