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Which of the following is NOT a factor of $p (x) = x^{3} - 6 x^{2} + 11 x - 6$ ?

Class 9Factor Theorem and FactorisationPolynomials

A $(x - 4)$
B $(x - 1)$
C $(x - 2)$
D $(x - 3)$

Step-by-Step Solution

p (1) = 0, p (2) = 0, p (3) = 0

so

(x - 1), (x - 2), (x - 3)

are factors.

p (4) = 64 - 96 + 44 - 6 = 6

!= 0, so

(x - 4)

is not a factor.

Answer: A)

(x - 4)

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