Question

if the product of two of the zeroes of the polynomial 2x^3-9x^2-13x-6 is 2 ,then the third zero of the polynomial is

Answer 1

Answer:

-3/2

Let the three zeros be alpha , beta and gama.

2x^3 - 9x^2 + 13x -6

a = 2 , b = -9 , c = 13 , d = -6

Now , given ...

The product of two zeros is 2 ,

then , alpha × beta = 2 ---- (1)

by formula

alpha × beta × gama = - d / a

= -6/2 = -3 ---- ( 2 )

Now ,

alpha × beta × gama = -3 ---- from ( 2 )

2 gama = -3 ---- ( from 1 , because we have proved alpha × beta = 2 )

gama = -3/2

Hence the third zero is -3/2 ....

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Answer 2

Answer:

3/2 is the 100 percent correct answer

Step-by-step explanation:

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