Use synthetic substitution to find g(3) and g(–5) for the function g(x) = x5 – 8x3 – 2x + 7.

Let's do the same thing to evaluate g(-5):

-5

Step-by-step explanation:

Never heard of "synthetic substitution."  I think you meant "synthetic division," which is a great method of evaluating polynomials for given input values.

g(x) = x^5 – 8x^3 – 2x + 7 is missing two terms.

With all terms showing, it would read:

g(x) = x^5 – 0x^4 + 8x^3 – 0x^2 - 2x + 7.  The coefficients are {1, 0, 8, 0, -2, 7}.

Let's evaluate g(3).  Use 3 as divisor in synth. div.:

3   )  1   0   8   0   -2   7

            3   9  51  153 453

       1    3   17  51  151  460      Since the remainder is 460, the value of g(3) is also 460.

-5  )   1    9    8    0    -2       7

              -5  -20  60 -300 1510

       1      4    -12   60 -302   1517

The remainder is 1517, and so g(-5) = 1517.

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.

29933333.33

step-by-step explanation: