9) Critical Thinking: Why Is It Impossible to Have a Linear Trinomial with One Variable?

5) n  n  n   6) x  x  

7) b 8)   n  n

9) Critical thinking: Why is it impossible to have a linear trinomial with one variable?

Simplify each expression. ( ) ( ) ( ) ( ) 10) m  m  m  m 11) x  x  x  x

( ) ( ) ( ) ( 12)   x  x    x  x 13)   x  x  x  x )  x Find each product. ( )( ) ( )( ) 16) n   n   17) v   v  

( )( ) ( )( ) 18) r   r   19) x   x  

( )( ) ( )( ) 20) x  x   x  x   21) x  x   x  x  

( )( ) ( )( ) 22) m  n m  n 23) u  v u  v

( )( ) 25) Simplify and then classify by 24) Simplify: a  b c  d degree and ( number) of terms: x  x x   constant monomial sixth degree polynomial with five terms

  5) n  n  n   6) x  x   cubic polynomial with four quadratic trinomial terms

7) b   8)   n  n linear monomial cubic trinomial

9) Critical thinking: Why is it impossible to have a linear trinomial with one variable? It could have at most two terms: Linear and constant.

Simplify each expression. ( ) ( ) ( ) ( 11) x  x  x  x 10) m  m  m  ) x  x m m  m (  ) ( ( ) ( ) 12)   x  x    x  13)   x  x  x  x  x ) x x  x  x   x  x  x   mn  n  n

Find each product.

( )( ) 17) ( )( 16) n   n   v   v  n  n   v  v  

( )( ) 19) ( )( 18) r   r   x   x 

 ) r  r   

( )( ) 20) x  x   x  x   ( )( ) 21) x  x   x  x   x  x  x  x   x  x  x  x  

( )( ( )( ) 22) m  n m  23) u  v u  v ) n u  uv  v m  mn  n

Critical thinking questions: 25) Simplify and then classify by degree and number of ( )( ) terms: 24) Simplify: a  b c  d ( ) x  x x   ac  ad  bc  bd x  x  x; Cubic trinomial