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Find the greatest common factor (GCF/HCF...

Find the greatest common factor (GCF/HCF) of the following polynomials:
(i)`2x^2 `and `12 x^2`
(ii) `6x^3y `and `18 x^2y^3`

Text Solution

Verified by Experts

Given:
`(i) 2x^2a n d\ 12 x^2`
`=>2x^2=2xx(x)xx(x)`
`=>12x^2=2xx2xx3xx(x)xx(x)`
Greatest common factor
`=> 2x^2`
(ii) `6x^3y\ a n d\ 18 x^2y^3`
`=>6x^3=2xx3xx(x^3)`
...
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