Multiply the polynomials (3x−1)(2x+4)
(3x - 1)(2x + 4) = 6x^2 + 12x - 2x - 4 = 6x^2 + 10x - 4
To multiply the polynomials (3x - 1)(2x + 4), we can use the distributive property.
First, we multiply the first terms of both polynomials:
(3x)(2x) = 6x^2
Next, we multiply the first term of the first polynomial with the second term of the second polynomial:
(3x)(4) = 12x
Then, we multiply the second term of the first polynomial with the first term of the second polynomial:
(-1)(2x) = -2x
Lastly, we multiply the second terms of both polynomials:
(-1)(4) = -4
Putting it all together, we have:
(3x - 1)(2x + 4) = 6x^2 + 12x - 2x - 4
Simplifying further, we combine like terms:
(3x - 1)(2x + 4) = 6x^2 + (12x - 2x) - 4
Which simplifies to:
(3x - 1)(2x + 4) = 6x^2 + 10x - 4