Q. 4 A4.4( 16 Votes )

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Answer :

In the given term


Dividend = (x2 + 7x + 12)


The given expression looks as


x2 + (a + b)x + ab


where a + b = 7; and ab = 12;


factors of 12 their sum


1 × 12 1 + 12 = 13


6 × 2 2 + 6 = 8


4 × 3 4 + 3 = 7


the factors having sum 7 are 4 and 3


x2 + 7x + 12 = x2 + (4 + 3)x + 12


= x2 + 4x + 3x + 12


= x(x + 4) + 3(x + 4)


= (x + 4)(x + 3)


Divisor = (x + 3)


=


= (x + 4)


Hence dividing (x2 + 7x + 12) by (x + 3) gives out (x + 4)


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