Identify the correct product

Question

2x(3.1x+7)

Responses

6x2+14
6 x squared plus 14

6.2x+14
6 point 2 x plus 14

6.2x2+14x
6 point 2 x squared plus 14 x

5.1x +9x

Answer 1

To find the correct product for the expression \(2x(3.1x + 7)\), we can distribute \(2x\) to both terms inside the parentheses.

1. Multiply \(2x\) by \(3.1x\): \[ 2x \cdot 3.1x = 6.2x^2 \]

2. Multiply \(2x\) by \(7\): \[ 2x \cdot 7 = 14x \]

Now, combining both results, we get: \[ 6.2x^2 + 14x \]

Among the provided responses, the correct product is: 6.2x² + 14x (6 point 2 x squared plus 14 x).