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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 βˆ’1 and finds the difference of the two values. Then she evaluates her resulting polynomial when x is equal to βˆ’1. 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: (2x4βˆ’3x2 βˆ’ 7)

A. Leslie is correct. Evaluating polynomial A when x = βˆ’1 yields a result of 12. Evaluating polynomial B when x = βˆ’1 yields a result of βˆ’7. The difference between 12 and βˆ’7 is 19. Evaluating Leslie's polynomial when x = βˆ’1 also yields a result of 19.
B. Leslie is correct. Evaluating polynomial A when x = βˆ’1 yields a result of 11. Evaluating polynomial B when x = βˆ’1 yields a result of βˆ’8. The difference between 11 and βˆ’8 is 19. Evaluating Leslie's polynomial when x = –1 also yields a result of 19.
C. Leslie is not correct. Evaluating polynomial A when x = βˆ’1 yields a result of 10. Evaluating polynomial B when x = βˆ’1 yields a result of βˆ’8. The difference between 10 and βˆ’8 is 18. Evaluating Leslie's polynomial when x = βˆ’1 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 = βˆ’1 also yields a result of 18.
D. Leslie is not correct. Evaluating polynomial A when x = βˆ’1 yields a result of 11. Evaluating polynomial B when x = βˆ’1 yields a result of βˆ’8. The difference between 11 and –8 is 19. Evaluating Leslie's polynomial when x = βˆ’1 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 = βˆ’1 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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