Expanding Binomials Notes

Expanding Binomials

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Multiple Choice

1. Expand using Pascal's Triangle.

 $\left(x+h\right)^2$  

•  $x^2+hx+h^2$  

•  $x^2+2xh+h^2$  

•  $x^2-2xh+h^2$  

•  $x^2-2xh-h^2$  

Multiple Choice

2. Expand using Pascal's Triangle.

 $\left(x-h\right)^2$  

•  $x^2+hx+h^2$  

•  $x^2+2xh+h^2$  

•  $x^2-2xh+h^2$  

•  $x^2-2xh-h^2$  

Multiple Choice

3. Expand using Pascal's Triangle.

 $\left(x+h\right)^3$  

•  $x^3+3x^2h+3xh^2+h^3$  

•  $x^3+2x^2h+2xh^2+h^3$  

•  $x^3-3x^2h+3xh^3-h^3$  

•  $x^3-3x^2h-3xh^2+h^3$  

Multiple Choice

4. Expand using Pascal's Triangle.

 $\left(x-h\right)^3$  

•  $x^3+3x^2h+3xh^2+h^3$  

•  $x^3+2x^2h+2xh^2+h^3$  

•  $x^3-3x^2h+3xh^2-h^3$  

•  $x^3-3x^2h-3xh^2+h^3$  

Multiple Choice

5. Expand using Pascal's Triangle.

 $\left(x+h\right)^4$  

•  $x^4+h^4$  

•  $x^4+4x^2h+6xh+4xh^2+h^4$  

•  $x^4+4x^3h+6x^2h^2+4xh^3+h^4$  

Multiple Choice

6. Expand using Pascal's Triangle.

 $\left(x-h\right)^4$  

•  $x^4-4x^3h+6x^2h^2+4xh^3-h^4$  

•  $x^4-4x^3h+6x^2h^2-4xh^3+h^4$  

•  $x^4-4x^3h-6x^2h^2-4xh^3+h^4$  

Fill in the Blanks

8. Use the function below...

  $f\left(x\right)=3x^2-4x$  to find the average rate of change on  $\left[-3,\ 2\right]$  

Fill in the Blanks

9. Use the function below...

  $f\left(x\right)=3x^2-4x$  to find the instantaneous rate of change at  $x=1$  

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