Q. 3 B4.4( 17 Votes )

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Answer :

In the given expression


Check whether there is any common factors for all terms;


None;


Regrouping the 1st 2 terms we have,


x3 + 2x2 = x2[x + 2] -------eq 1


Regrouping the last 2 terms we have,


5x + 10 = 5[x + 2] -------eq 2


Combining eq 1 and 2


x3 + 2x2 + 5x + 10 = x2[x + 2] + 5[x + 2]


= [x2 + 5][x + 2]


Hence the factors of x3 + 2x2 + 5x + 10 are [x2 + 5] and [x + 2]


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