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

Question

x2+x+

Answer 1

To multiply the polynomials $(3x-1)(2x+4)$, we can use the distributive property (also known as the FOIL method for binomials).

1. First Terms: $3x\cdot 2x=6x^2$
2. Outer Terms: $3x\cdot 4=12x$
3. Inner Terms: $-1\cdot 2x=-2x$
4. Last Terms: $-1\cdot 4=-4$

Now, we combine all the results:

$$6x^2+12x-2x-4$$

Now combine the like terms ($12x-2x$):

$$6x^2+10x-4$$

Therefore, the product of the polynomials $(3x-1)(2x+4)$ is:

$$\boxed{{\displaystyle 6x^2+10x-4}}$$