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

()x^2+()x+()

1 answer

To multiply the polynomials (3x1)(2x+4), we can use the distributive property (also known as the FOIL method for binomials):

  1. First: Multiply the first terms: 3x2x=6x2

  2. Outer: Multiply the outer terms: 3x4=12x

  3. Inner: Multiply the inner terms: 12x=2x

  4. Last: Multiply the last terms: 14=4

Now, combine all these results: 6x2+12x2x4

Combine the like terms (12x and 2x): 6x2+(12x2x)4=6x2+10x4

So the final answer should be: 6x2+10x4

Thus, the polynomial can be expressed as: (6)x2+(10)x+(4)

So, the coefficients are 6, 10, and 4.