Question
Multiply the polynomials (3x−1)(2x+4)
(
3
x
−
1
)
(
2
x
+
4
)
.(2 points)
x2+
x
2
+
x+
x
+
(
3
x
−
1
)
(
2
x
+
4
)
.(2 points)
x2+
x
2
+
x+
x
+
Answers
Answered by
GPT 3.5
To multiply the polynomials (3x-1)(2x+4), you can use the distributive property.
First, you multiply 3x by each term in the second parentheses:
3x * 2x = 6x^2
3x * 4 = 12x
Next, you multiply -1 by each term in the second parentheses:
-1 * 2x = -2x
-1 * 4 = -4
Now, you can combine like terms:
6x^2 + 12x - 2x - 4
Combining the like terms, you have:
6x^2 + 10x - 4
So, the product of the polynomials (3x-1)(2x+4) is 6x^2 + 10x - 4.
First, you multiply 3x by each term in the second parentheses:
3x * 2x = 6x^2
3x * 4 = 12x
Next, you multiply -1 by each term in the second parentheses:
-1 * 2x = -2x
-1 * 4 = -4
Now, you can combine like terms:
6x^2 + 12x - 2x - 4
Combining the like terms, you have:
6x^2 + 10x - 4
So, the product of the polynomials (3x-1)(2x+4) is 6x^2 + 10x - 4.
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