Pre-Assessment (Factors of Polynomials)

What is the greatest common factor of  $4c^3-12c^4$  ?

•  $4$  

•  $4c$  

•  $4c^2$  

•  $4c^3$  

What is the factored form of  $m^2+4m+3$  ?

•  $\left(m+1\right)\left(m+3\right)$  

•  $\left(m-1\right)\left(m-3\right)$  

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

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

Which of the following are the factors of  $w^2+4w+4$  ?

•  $\left(w+1\right)^2$  

•  $\left(w+2\right)^2$  

•  $\left(w+3\right)^3$  

•  $\left(w+4\right)^2$  

What is the factored form of  $x^2-9$  

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

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

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

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

What will you multiply to  $\left(x-2\right)$  to have a product of difference of two cubes?

•  $x^2-4$  

•  $x^2+2x+4$  

•  $x^2-2x+4$  

•  $x^2+4x+4$  

Which of the following expressions CANNOT be factored?

• $5m-45$

• $h^2-16$

• $d^2+36$

• $w^3-8$

What is the factored form of  $24m^2+36m^3$  

•  $12m^2\left(2+3m\right)$  

•  $12m^3\left(2m+3\right)$  

•  $8m^2\left(2+3m\right)$  

•  $8m^3\left(2m+3\right)$  

Which factoring technique will be used to factor  $m^2+8m+16$  ?

• Factoring the quadratic trinomial

• Factoring the difference of two squares

• Factoring the sum of two cubes

• Factoring the perfect square trinomial

The area of the rectangular lot is  $\left(c^2-5c+4\right)$ . What are its dimensions?

•  $\left(c-1\right)\left(c-4\right)$  

•  $\left(c-1\right)\left(c+4\right)$  

•  $\left(c+2\right)\left(c-2\right)$  

•  $\left(c+2\right)\left(c+2\right)$  

The area of a rectangular wall is $\left(n^2-16\right)\ m.^2$ and its width is  $\left(n-4\right)\ m.$  What is its length?

•  $n-4$  

•  $n+4$  

•  $n-8$  

•  $n+16$