Let's do the same thing to evaluate g(-5):
-5Answer:
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
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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
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1 4 -12 60 -302 1517
The remainder is 1517, and so g(-5) = 1517.
