Multiplying Polynomials - Unit 7 Lesson 2C

Page 11: Summary

When multiplying two of the same variables, we ___________ the coefficients (#s in front of the variables) and ___________ the exponents.

• add / subtract

• add / divide

• add / multiply

• subtract / divide

• subtract / multiply

Page 11: Summary

When adding or combining like terms, the exponents ___________.

Page 12: #8

Express the product of  $x\ +\ 5$ and  $x\ +\ 5$  in standard form

Page 13: #10a
 $5x\left(3x\ -\ 10\right)$  

•  $15x\ -\ 50x$  

•  $15x\ -\ 50$  

•  $15x^2\ -\ 50x$  

•  $15x^2\ -\ 50$  

Page 13: #10b
 $\left(2x\ -\ 6\right)\left(3x\ +\ 8\right)$  

•  $6x^2+2x-48$  

•  $6x^2-2x-48$  

•  $6x^2-2x+48$  
  

•  $6x^2+2x+48$  

Page 13: #10
 $5x\left(3x\ -10\right)\ +\ \left(2x\ -\ 6\right)\left(3x\ +\ 8\right)$ 
Use the answers from the two previous questions to assist.

(a)  

Page 13: #11a
 $\left(x^2+\ x\ +\ 1\right)\left(2x\ +\ 1\right)$  

•  $2x^3+\ 3x^2+3x\ +1$  
  

•  $2x^3+\ 2x^2+2x\ +1$  
  

• 
  

   $3x^2+3x\ +1$  

•  $2x^3-\ 3x^2-3x\ +1$  

Page 13: #11b
 $-x\left(x\ -\ 1\right)$  

•  $x^2+x$  
  

•  $-x^2-x$  
  

•  $-x^2\ +x$  

•  $x^2-x$  
  

Page 13: #11
 $(x^2+x+1)(2x+1)\ -\ x\left(x\ -1\right)$  

Use the answers from the two previous questions to assist.

(a)  

Page 15 #10a
 $\left(2x\ +3\right)\left(x\ +\ 2\right)$  

•  $2x^2\ +\ 7x\ +6$  

•  $2x^2\ +\ 3\ x\ +6$  

•  $x^2\ +\ 7x\ +6$  

•  $x^2\ +\ 3x\ +6$