Which polynomial is prime?
x3 + 3x^2 - 2x - 6
x3 - 2x^2 + 3x - 6
4x^4 + 4x^3 - 2x - 2
2x^4 + x^3 - x + 2

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

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step-by-step explanation: