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

Answer 1

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

(3x - 1)(2x + 4) = 3x(2x) + 3x(4) - 1(2x) - 1(4)

Simplifying each term:

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

Combining like terms:

= 6x^2 + 10x - 4

So, the product of the polynomials (3x - 1)(2x + 4) is 6x^2 + 10x - 4.

Answer 2

Which of the following responses shows that polynomials form a closed system under multiplication?(1 point)
Responses

6⋅−3
6 times negative 3

4x3⋅5
4 x cubed times 5

(x)(12x)
left parenthesis x right parenthesis left parenthesis Start Fraction 1 over 2 End Fraction x right parenthesis

3x24−1

Answer 3

The correct response that shows that polynomials form a closed system under multiplication is:

3x^2 - 1