Question

Leslie subtracts polynomial B from polynomial A, and her result is 5x^4 + x^2 + 13. To check her answer, she evaluates each polynomial when x is equal to −1 and finds the difference of the two values. Then she evaluates her resulting polynomial when x is equal to −1. Will Leslie's method to check the result of her polynomial subtraction work? Explain how you determined your answer.

A) Leslie is correct.
B) Leslie is correct.
C) Leslie is not correct.
D) Leslie is not correct.

Answer 1

Leslie's method to check the result of her polynomial subtraction will work. By evaluating both polynomial A and polynomial B when x is equal to -1 and finding the difference of the two values, Leslie obtains the resulting polynomial. Then, when she evaluates the resulting polynomial when x is equal to -1, she verifies her original subtraction.

Step-by-step explanation:

Leslie's method to check the result of her polynomial subtraction will work. By evaluating both polynomial A and polynomial B when x is equal to -1 and finding the difference of the two values, Leslie obtains the resulting polynomial. Then, when she evaluates the resulting polynomial when x is equal to -1, she verifies her original subtraction. If the resulting polynomial evaluates to the same value as the difference of the evaluations of polynomial A and polynomial B, then Leslie's method is correct.