Multiply the polynomials (3x−1)(2x+4) ( 3 x − 1 ) ( 2 x + 4 )

Answer 1

To multiply the given polynomials (3x - 1)(2x + 4), we will use the distributive property.

First, we multiply the first terms of each polynomial: (3x) * (2x) = 6x²
Next, we multiply the outer terms of each polynomial: (3x) * (4) = 12x
Then, we multiply the inner terms of each polynomial: (-1) * (2x) = -2x
Finally, we multiply the last terms of each polynomial: (-1) * (4) = -4

Combining these results, we have:
6x² + 12x - 2x - 4

Simplifying further, we get:
6x² + 10x - 4

Therefore, the product of (3x - 1)(2x + 4) is 6x² + 10x - 4.