Factoring Trinomials

Factoring Trinomials

From box method to x-game

Multiple Choice

 $x^2+4x-5$  
Factor the equation above.

•  $\left(x-8\right)\left(x+9\right)$  

•  $\left(x-2\right)\left(x+6\right)$  

•  $\left(x+5\right)\left(x-1\right)$  

•  $\left(x+5\right)\left(x+1\right)$  

Multiple Choice

 $x^2+4x-45$  
Factor the equation above.

•  $\left(x-9\right)\left(x-5\right)$  

•  $\left(x+9\right)\left(x+5\right)$  

•  $\left(x+3\right)\left(x-1\right)$  

•  $\left(x+9\right)\left(x-5\right)$  

Poll

Which do you prefer when factoring trinomials?

• I like to use the box method

• I like to use the x-game.

• I like to factor by grouping.

Multiple Choice

 $x^2-3x-70$  

Factor the above expression.

•  $\left(x+7\right)\left(x-10\right)$  

•  $\left(x+10\right)\left(x-2\right)$  

•  $\left(x+2\right)\left(x-8\right)$  

Multiple Choice

 $x^2+15x+54$  

Factor the above expression.

•  $\left(x-9\right)\left(x-6\right)$  

•  $\left(x+9\right)\left(x+6\right)$  

•  $\left(x-8\right)\left(x-6\right)$  

Multiple Choice

 $x^2-14x+45$  

Which are the factors you need to factor the above expression?

•  $9,\ -5$  

•  $-7,\ +9$  

•  $-9,-5$  

Multiple Choice

 $\left(x^2-14x+45\right)=\left(\ \ \ \ ?\ \ \ \ \right)\left(\ \ \ \ \ ?\ \ \ \ \right)$  

•  $\left(x+9\right)\left(x-5\right)$  

•  $\left(x-7\right)\left(x+9\right)$  

•  $\left(x-9\right)\left(x-5\right)$  

Open Ended

 $x^2-7x-30$  
Listing the factors of -30:
 $2\times-15\ \ \ \ \ or\ \ \ \ -2\times15$ 

 $3\times-10\ \ \ \ or\ \ \ -3\times10$  

  $5\times-6\ \ \ \ or\ \ \ -5\times6$  

 $1\times-30\ \ \ \ or\ \ \ -1\times30$  
Which combination will you choose to factor the trinomial above?

Multiple Choice

 $x^2-7x-30$  

Factor the above trinomial.

•  $\left(x-7\right)\left(x+3\right)$  

•  $\left(x-4\right)\left(x-6\right)$  

•  $\left(x+3\right)\left(x+10\right)$  

•  $\left(x+3\right)\left(x-10\right)$  

Multiple Choice

 $Factor:\ x^2-5x-24$  

•  $\left(x-3\right)\left(x-8\right)$  

•  $\left(x-9\right)\left(x+1\right)$  

•  $\left(x+3\right)\left(x-8\right)$  

•  $\left(x+3\right)\left(x+8\right)$  

Multiple Select

 $x^2+13x+42=\left(\ \ \ \ \ \ ?\ \ \ \ \ \right)\left(\ \ \ \ ?\ \ \ \ \ \ \ \right)$  

•  $\left(x-6\right)\left(x+5\right)$  

•  $\left(x+7\right)\left(x+6\right)$  

•  $\left(x-10\right)\left(x-5\right)$  

•  $\left(x+7\right)\left(x-6\right)$  

Multiple Select

 $x^{2\ }+7x-18=\left(\ \ \ \ ?\ \ \ \right)\left(\ \ \ \ ?\ \ \ \right)$  

•  $\left(x-9\right)\left(x+2\right)$  

•  $\left(x+6\right)\left(x-1\right)$  

•  $\left(x+9\right)\left(x-2\right)$  

•  $\left(x-9\right)\left(x-2\right)$  

Multiple Select

 $x^2-6x-40=\left(\ \ ?\ \ \ \right)\left(\ \ ?\ \ \ \right)$  

•  $\left(x-10\right)\left(x+4\right)$  

•  $\left(x-8\right)\left(x+6\right)$  

•  $\left(x+9\right)\left(x+3\right)$  

•  $\left(x-10\right)\left(x-4\right)$  

Poll

I think I did

• great!

• well!

• not bad!

• yuchy :(