Which of the following shows that polynomials are closed under addition when two polynomials 4x + 6 and 2x2 - 8x - 4 are added?

Question

3 years ago

8

Which of the following shows that polynomials are closed under addition when two polynomials 4x + 6 and 2x2 - 8x - 4 are added?

Select one:
a. 2x2 - 4x + 2 will be a polynomial
b. 2x2 - 4x + 2 may or may not be a polynomial
c. 2x2 - 12x - 10 will be a polynomial
d. 2x2 - 12x - 10 may or may not be a polynomial

Mathematics

2 answers:

Komok [63] · Answer 1 · 2022-05-30T12:16:05+03:00

Komok [63]3 years ago

8 0

Answer:

The answer is a. 2x2 - 4x + 2 will be a polynomial

Step-by-step explanation:

SVEN [57.7K] · Answer 2 · 2022-05-30T10:14:04+03:00

SVEN [57.7K]3 years ago

4 0

The answer is <span>a. 2x2 - 4x + 2 will be a polynomial

</span>(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)