SOLUTION: Using syntgetuc division, determine wheter the numbers are zeros of the polynomial. 0, -2; P(x)=-x^4+6x^2+2x-4 a. no; yes b. yes; yes c. no; no d. yes; no e. none of the ab

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Using syntgetuc division, determine wheter the numbers are zeros of the polynomial. 0, -2; P(x)=-x^4+6x^2+2x-4 a. no; yes b. yes; yes c. no; no d. yes; no e. none of the ab      Log On


   

Question 371572: Using syntgetuc division, determine wheter the numbers are zeros of the polynomial.
0, -2; P(x)=-x^4+6x^2+2x-4
a. no; yes
b. yes; yes
c. no; no
d. yes; no
e. none of the above
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
There is no need to use synthetic division to check if 0 is a zero of the polynomial. Every term with x in it will become zero leaving just the -4 at the end. So 0 is not a zero of P(x).

We will use synthetic division to check if -2 is a zero:
-2 |  -1   0   6   2  -4
----       2  -4  -4   4
      ------------------
      -1   2   2  -2   0

The remainder, which is in the lower right corner, is 0! So -2 is a zero of P(x).