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Which of the following are roots of the polynomial function?
Check all that apply.
F(x) =x3-x2- 5x-3
0 A. 3+2
0 B. 1+J3
. C. 3
. D. 1-3
0 E. -1
0 F 3-2

Which Of The Following Are Roots Of The Polynomial Function Check All That Apply Fx X3x2 5x3 0 A 32 0 B 1J3 C 3 D 13 0 E 1 0 F 32 class=

Answer :

You know 1 is not a root because the sum of the coeffcients of the equation is 14, not zero.

It is fairly easy to try 3 by synthetic division (see attachment), which tells you that 3 is a root and the remaining quadratic factor is x²-3x-5. The quadratic formula tells you the roots of that factor are

... x = (-b±√(b²-4ac))/(2a) = (3±√29)/2

The appropriate choices are

... C. (3-√29)/2

... D. (3+√29)/2

... F. 3

_____

The quadratic formula tells you the solution to

... ax²+bx+c=0

is x = (-b±√(b²-4ac))/(2a)

We have a=1, b=-3, c=-5.

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