Section 8.2 Worksheets
PDF Version of these Worksheets
Worksheet Worksheet 1
1.
Identify the greatest common factor of \(6x + 9\text{,}\) then factor it out of the polynomial. Draw the grid and write the corresponding equation.
2.
Identify the greatest common factor of \(4y - 10\text{,}\) then factor it out of the polynomial. Draw the grid and write the corresponding equation.
3.
Identify the greatest common factor of \(3a^2b + 9ab - 15b\text{,}\) then factor it out of the polynomial. Draw the grid and write the corresponding equation.
4.
Identify the greatest common factor of \(8n + 4\text{,}\) then factor it out of the polynomial. Write the corresponding equation, but do not draw a grid.
Worksheet Worksheet 2
1.
Identify the greatest common factor of \(4x^5 - 10x^2 + 12x\text{,}\) then factor it out of the polynomial. Draw the grid and write the corresponding equation.
2.
Identify the greatest common factor of \(12p^2 - 18p\text{,}\) then factor it out of the polynomial. Write the corresponding equation, but do not draw a grid.
3.
Identify the greatest common factor of \(3y^3 + 15y^2 - 6y\text{,}\) then factor it out of the polynomial. Write the corresponding equation, but do not draw a grid.
4.
Identify the greatest common factor of \(x(x - 4) + 3(x - 4)\text{,}\) then factor it out of the polynomial. Draw the grid and write the corresponding equation.
Worksheet Worksheet 3
1.
Identify the greatest common factor of \(x(3y - 2) - 5(3y - 2)\text{,}\) then factor it out of the polynomial. Write the corresponding equation, but do not draw a grid.
2.
Factor \(x^3 + 4x^2 + 3x + 12\) by grouping. Draw the grids and use a complete presentation.
3.
Factor \(x^2 - 6x - 3x + 18\) by grouping. Draw the grids and use a complete presentation.
Worksheet Worksheet 4
1.
Factor \(2x^2 - 3x - 6x + 9\) by grouping. Draw the grids and use a complete presentation.
2.
Factor \(3xy + 6x - 2y - 4\) by grouping. Draw the grids and use a complete presentation.
3.
Factor \(x^3 - 3x^2 + 4x - 12\) by grouping. Use a complete presentation, but do not draw the grids.
Worksheet Worksheet 5
1.
Factor \(x^2 - 4x - 4x + 16\) by grouping. Use a complete presentation, but do not draw the grids.
2.
Factor \(2x^2 + 5x - 4x - 10\) by grouping. Use a complete presentation, but do not draw the grids.
3.
Factor \(x^2 - 3x + 5x - 15\) by grouping. Then factor \(x^2 + 5x - 3x - 15\) by grouping. Use a complete presentation for both, but do not draw the grids. Was one easier than the other? Explain your perspective.