Question

What is the difference of the polynomials?

a) 0.7t³ - 0.2t² - 6t - 8
b) 0.7t³ - t² - 6 - 8
c) 1.3t - t² + 6t - 8
d) 1.31 - 0.2t² - 6t - 8

Answer 1

The difference of the given polynomials is 0.8t² - 6t - 2.

Step-by-step explanation:

The difference of the given polynomials can be found by subtracting one polynomial from the other. Let's subtract polynomial b) from polynomial a):

0.7t³ - 0.2t² - 6t - 8 - (0.7t³ - t² - 6 - 8)

Simplifying, we get:

0.7t³ - 0.2t² - 6t - 8 - 0.7t³ + t² + 6 + 8

Combining like terms, we have:

-0.2t² - 6t - 8 + t² + 6

Finally, simplifying further, we get the difference polynomial:

0.8t² - 6t - 2