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A graph cuts the $x$ -axis at $x = - 1, x = 2$ and $x = 4$ . Which polynomial could it represent?

Class 10Graphical Meaning of ZeroesAlgebra — Polynomials

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

Step-by-Step Solution

Zeroes -1, 2, 4 correspond to factors

(x + 1), (x - 2), (x - 4)

. Only the first option has all three factors.

Answer: A)

(x + 1) (x - 2) (x - 4)

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