Mathematics, 08.12.2020 21:20 cheychey1620
Leslie subtracts polynomial B from polynomial A, and her result is 5x4 + x2 + 13. To check her answer, she evaluates each polynomial when x is equal to β1 and finds the difference of the two values. Then she evaluates her resulting polynomial when x is equal to β1. Will Leslie's method to check the result of her polynomial subtraction work?
Explain how you determined your answer.
Polynomial A: (3x4 + 2x2 + 6)
Polynomial B: (2x4β3x2 β 7)
A. Leslie is correct. Evaluating polynomial A when x = β1 yields a result of 12. Evaluating polynomial B when x = β1 yields a result of β7. The difference between 12 and β7 is 19. Evaluating Leslie's polynomial when x = β1 also yields a result of 19.
B. Leslie is correct. Evaluating polynomial A when x = β1 yields a result of 11. Evaluating polynomial B when x = β1 yields a result of β8. The difference between 11 and β8 is 19. Evaluating Leslie's polynomial when x = β1 also yields a result of 19.
C. Leslie is not correct. Evaluating polynomial A when x = β1 yields a result of 10. Evaluating polynomial B when x = β1 yields a result of β8. The difference between 10 and β8 is 18. Evaluating Leslie's polynomial when x = β1 also yields a result of 18. However, the correct polynomial for the difference of polynomials A and B is x3 + 5x2 + 13. Evaluating this polynomial when x = β1 also yields a result of 18.
D. Leslie is not correct. Evaluating polynomial A when x = β1 yields a result of 11. Evaluating polynomial B when x = β1 yields a result of β8. The difference between 11 and β8 is 19. Evaluating Leslie's polynomial when x = β1 also yields a result of 19. However, the correct polynomial for the difference of polynomials A and B is x4 + 5x2 + 13. Evaluating this polynomial when x = β1 also yields a result of 19.
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Leslie subtracts polynomial B from polynomial A, and her result is 5x4 + x2 + 13. To check her answe...
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