Which of the following shows that polynomials are closed under addition when two polynomials 4x + 6 and 2x2 - 8x - 4 are added? 2x2 - 4x + 2; will be a polynomial 2x2 - 4x + 2; may or may not be a polynomial 2x2 - 12x - 10; will be a polynomial 2x2 - 12x - 10; may or may not be a polynomial

Question

Mathematics

Guest

28 November, 12:46

Which of the following shows that polynomials are closed under addition when two polynomials 4x + 6 and 2x2 - 8x - 4 are added? 2x2 - 4x + 2; will be a polynomial 2x2 - 4x + 2; may or may not be a polynomial 2x2 - 12x - 10; will be a polynomial 2x2 - 12x - 10; may or may not be a polynomial

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Answers (1)

Know the Answer?

Marin Gonzales · Answer 1

The answer is a

Step-by-step explanation

2x2 - 4x + 2 will be a polynomial

(4x + 6) + (2x² - 8x - 4)

= 4x + 6 + 2x² - 8x - 4

= 2x² + (4x - 8x) + (6 - 4)

= 2x² - 4x + 2

And it is polynomial (it has more than 1 term)