Genber Will Evaluate An 8th Degree Polynomial In X At X = 10 Using The Remainder Theorem And Synthetic Division. How Many Coefficients Of X Will Be Wr
Genber will evaluate an 8th degree polynomial in x at x = 10 using the Remainder Theorem and synthetic division. How many coefficients of x will be written in the first row of the synthetic division procedure?
a. 8
b. 9
c. 10
d. 11
Division of Polynomials:
Remainder Theorem
Synthetic Division
There are 9 coefficients of x that should be written in the first row of the synthetic division since the polynomial to be evaluated is in the 8th degree.
Solution:
1. Write the polynomial.
x⁸ + x⁷ + x⁶ + x⁵ + x⁴ + x³ + x² + x + 1
2. Using synthetic division where x = 10. Then,
10l 1 1 1 1 1 1 1 1 1
10 -90 -890 -8890 -88890 -888890 -8888890 -88888890
1 -9 -89 -889 -8889 -88889 -888889 -8888889 -88888889
3. Therefore, the remainder is -88, 888, 889.
Code: 10.3.1.2
For more details regarding remainder theorem, go to the link:
For more details regarding synthetic division, go to the following links:
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