Which of the following are possible rational roots of the polynomial function? #F(x)= 2x^2-3x+7# #color(white)("d") "A." +/- 7 ;# B. +/- 1/2 C. +/- 1/7 D. +/- 1 E. +/- 2
Which of the following are possible rational roots of the polynomial function?
#F(x)= 2x^2-3x+7#
#color(white)("d") "A."color(white)("d") +- 7 #
#color(white)("d")"B."color(white)("d") +- 1/2#
#color(white)("d")"C."color(white)("d") +- 1/7#
#color(white)("d")"D."color(white)("d") +- 1#
#color(white)("d")"E."color(white)("d") +- 2#
Which of the following are possible rational roots of the polynomial function?
1 Answer
None of the offered values are actual solution. However,
the question states
These words do not rule out that they may be wrong
Explanation:
Set
Completing the square we have:
Set
where
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
However, the question states POSSIBLE ......
These words do not rule out that they may be wrong
This is a prime number so the only possible structure when considering the constant on its own is:
So potentially (not really)
As demonstrated above this is not the solution.