Will mark !
given the following equation, x^4 - x^3 - 3x - 2. use synthetic division to test the following 3 points and show which one is a root. must show synthetic division for all 3 of the following test points. test these 3 possible root points also called possible zeros using synthetic division: (x, y) = (-1, 0) (-3, 0) (2, 0).
show your !

Answer x^2-5=0

x^2= 5

x=+ v/5

The answer to your question is:

(-1,0)           it's not a root

(-3,0)          it's not a root

(2,0)           it's a root

Step-by-step explanation:

                                            1        -1        0        -3        -2             -1

                                                      -1       2         -2        5

                                             1       -2       2        -5         3    it's not a root

                                            1        -1        0        -3        -2             -3

                                                      -3      -12      36       99  

                                            1       -4       -12       33       97     It is not a root    

                                              1        -1        0        -3        -2             2

                                                        2        2         4          2

                                              1          1        2          1          0    It's a root

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.