Q. 114.2( 19 Votes )

Verify division a

Answer :

It is given in the question that,

f (x) = - 6x3 + x2 + 20x + 8


g (x) = - 3x2 + 5x + 2



Quotient = 2x + 3


Remainder = x + 2


We know that, according to division rule:


Dividend = Quotient × Divisor + Remainder


Putting the values in the above formula, we get:


- 6x3 + x2 + 20x + 8 = (- 3x2 + 5x + 2) (2x + 3) + (x + 2)


-6x3 + x2 + 20x + 8 = - 6x3 + 10x2 + 4x – 9x2 + 15x + 6 + x + 2


-6x3 + x2 + 20x + 8 = -6x3 + x2 + 20x + 8

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