Question

(3e² - 0.5e + 7) (0.8e + 1) find the product

Answer 1

The final result is 2.4e³ + 2.6e² + 5.1e + 7.

Step-by-step explanation:

To find the product of the expression (3e² - 0.5e + 7) (0.8e + 1), we can use the distributive property (also known as the FOIL method for binomials). We multiply each term in the first polynomial by each term in the second polynomial. Here are the steps:

1. Multiply 3e² by 0.8e, which gives 2.4e³.
2. Multiply 3e² by 1, which gives 3e².
3. Multiply -0.5e by 0.8e, which gives -0.4e².
4. Multiply -0.5e by 1, which gives -0.5e.
5. Multiply 7 by 0.8e, which gives 5.6e.
6. Multiply 7 by 1, which gives 7.

Now add all the terms together:

2.4e³ + (3e² - 0.4e²) + (-0.5e + 5.6e) + 7

Simplify the above to get the final result:

2.4e³ + 2.6e² + 5.1e + 7