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Choose the correct simplification and demonstration of the closure property given: (3x^3 + 2x^2 − 5x) − (8x^3 − 2x^2).

5x^3 + 2x^2 + 5x; is a polynomial
5x^3 + 2x^2 + 5x; may or may not be a polynomial
−5x^3 + 4x^2 − 5x; is a polynomial
−5x^3 + 4x^2 − 5x; may or may not be a polynomial

-5x³ + 4x² - 5x; is a polynomial

Step-by-step explanation:

(3x³ + 2x² − 5x) − (8x³ − 2x²)

3x³ - 8x³ + 2x² + 2x² - 5x

-5x³ + 4x² - 5x

It is a polynomial

32

step-by-step explanation:

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: