Question 25

An irreducible factor of $24 x^{2} y^{2}$ is
(a) $x^{2}$
(b) $y^{2}$
(c) $x$
(d) $24 x$

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Solution

(c) $x$
$\to$ A factor is said to be irreducible if it cannot be factorised further.
We have, $24 x^{2} y^{2}$ = 2 x 2 x 2 x 3 x $x$ x $x$ x $y$ x $y$
Hence, an irreducible factor of $24 x^{2} y^{2}$ is $x$ .

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Factors of Algebraic Expressions and Factorisation

Standard VIII Mathematics

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Question 25 An irreducible factor of 24x2y2 is (a) x2 (b) y2 (c) x (d) 24x

(c) x →A factor is said to be irreducible if it cannot be factorised further. We have, 24x2y2 = 2 x 2 x 2 x 3 x x x x x y x y Hence, an irreducible factor of 24x2y2 is x.

Question 25

An irreducible factor of $24 x^{2} y^{2}$ is
(a) $x^{2}$
(b) $y^{2}$
(c) $x$
(d) $24 x$

(c) $x$
$\to$ A factor is said to be irreducible if it cannot be factorised further.
We have, $24 x^{2} y^{2}$ = 2 x 2 x 2 x 3 x $x$ x $x$ x $y$ x $y$
Hence, an irreducible factor of $24 x^{2} y^{2}$ is $x$ .