An irreducible factor

Question:

An irreducible factor of 24x2y2 is

(a) x2 

(b) y2 

(c) x

(d) 24x

Solution:

(c) x

An irreducible factor is a factor which cannot be expressed further as a product of factors. Such a factorisation is called an irreducible factorisation.

24x2y2 = 2 × 2 × 2 × 3 × x × x × y × y

Therefore an irreducible factor is x.

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