Question

using tiles to multiply a monomial by a binomial

multiply \\(3x(2x - 1)\\) by following these steps:

step 1: drag tiles to the section labeled factor 1 to represent the factor \\(3x\\).

Explanation:

Identify the factor to represent

The problem asks to represent the factor \(3x\) in the section labeled "Factor 1" using algebra tiles.

Select the appropriate tile

To represent \(3x\), we need tiles that represent positive \(x\). Looking at the available tiles:

• Red tile: \(+x^2\)
• Blue tile: \(-x\)
• Small red tile: \(+1\)
• Small blue tile: \(-1\)
• Long green tile (implied by standard algebra tiles, or the blue tile labeled \(-x\) suggests a corresponding positive \(x\) tile is available or we use the positive \(x\) tile which is typically green/yellow, but here we need three positive \(x\) tiles).

Determine the action

Drag three positive \(x\) tiles into the "Factor 1" section.

Answer:

To represent the factor \(3x\) in the section labeled Factor 1, you should drag <blank>three positive \(x\) tiles</blank> into that section.