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Multiply the polynomials (3x−1)(2x+4)

.(2 points)
? x2+ ? x+ ?

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To multiply the polynomials (3x-1)(2x+4), we can use the distributive property. We multiply each term of the first polynomial by each term of the second polynomial.

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

Simplifying, we get:

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

Combining like terms, we have:

6x^2 + 10x - 4

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

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

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

First, we multiply 3x by each term in the second polynomial:
3x * 2x = 6x^2
3x * 4 = 12x

Next, we multiply -1 by each term in the second polynomial:
-1 * 2x = -2x
-1 * 4 = -4

Now, we can combine these terms:
(3x-1)(2x+4) = 6x^2 + 12x - 2x - 4

Simplifying further, we have:
(3x-1)(2x+4) = 6x^2 + 10x - 4

So, the expanded form of the multiplication is:
(3x-1)(2x+4) = 6x^2 + 10x - 4