Question

(2x3 + 2x² + 3x + 3) L and
(4x² – 2x² + 6x - 3) L.
water. What is biggest measure that can measure both
quantities exactly?
(x² + 2x) i
(2x² + 3) i
(2x - 1L​

Answer 1

Answer:

just factorise 2x³+2x²+3x+3

so, you get, x+1 , as a factor, now divide the given term by (x+1) , so (2x³+2x²+3x+3 ) /(x+1) = 2x²+3

now apply sridharacharya's rule to solve this

(-b+(b²-4ac)^1/2)/2a

but we found that the given equation has not real roots so , let's try out with another factor for the same equation, but there's no other factor than x=-1

so let's move on second eq. to check if it is the same factor for second one or not.

so, after the calculations, we found that (4x³-2x²+6x-3)/(2x²+3) =2x-1

so 2x²+3 is the factor which exactly divides both the cubic expressions..

therefore answer would be

2x²+3

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