Polynomial Operations

Do the following operation.

(a)  

Do the following operation.

(a)  

Do the following operation.

(a)  

Do the following operation.

(a)  

Do the following operation.

(a)  

Do the following operation.

(a)  

Maritza saw on the board that the teacher had written   $\left(x-3\right)\left(x+3\right)\ =\ x^{2\ }-9$ . She said, “I see what happened, so that means that   $\left(x-2\right)\left(x+5\right)$  must equal  $x^{2\ }-\ 10$ ." Use complete sentences and show your calculations to explain how you know if Maritza is right or wrong.

The length of a rectangle is  $5x\ -\ 2$  and its width is $\ x\ +4$ . Show your calculations to find the area of the rectangle as a variable expression.

Create an addition problem in which the sum of TWO BINOMIALS is  $x-4$ .

Raul was multiplying binomials. He found the product in one problem was  $2x^{2\ }-\ 9x\ -\ 18$ . One of the binomials he was multiplying was  $2x\ +\ 3$ . What was the other binomial?