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Answer»

We have polynomial p (x) =x^3- 2x^2 - 5x+ 6

So two verify 3 , -2 and 1 are zeros of our given cubic polynomial , we check As :

Atx = 3 we get

p ( 3) = ( 3 )^3- 2 ( 3 )^2 - 5( 3 ) + 6

p ( 3) = 27 - 18 -15 + 6

p ( 3) = 0

SO 3 is a zeros of our given polynomial .

Now Atx = - 2 we get

p ( -2) = ( -2 )^3- 2 ( -2 )^2 - 5( -2 ) + 6

p ( -2 ) = -8 - 8 + 10 + 6

p ( -2 ) = 0

SO -2 is a zeros of our given polynomialNow Atx = 1 we get

p ( 1 ) = ( 1 )^3- 2 ( 1 )^2 - 5( 1 ) + 6

p ( 1) = 1 - 2 -5 + 6

p ( 1 ) = 0

SO 1 is a zeros of our given polynomial .

So it is verified that 3 , -2 and 1 are zeros of given polynomial .



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