2A Solving and Factoring Polynomials

What are the factors of
 $x^2+5x+4$  

•  $\left(x+2\right)\left(x+3\right)$  

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

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

•  $\left(x+1\right)\left(x+4\right)$  

What are the factors of
 $2x^2+5x-12$  

•  $\left(x+4\right)\left(2x-3\right)$  

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

•  $\left(2x+1\right)\left(x-12\right)$  

•  $\left(2x+3\right)\left(x-8\right)$  

What are the factors of
 $4m^2-25$  

•  $\left(4m-5\right)\left(4m+5\right)$  

•  $\left(2m-5\right)\left(2m+5\right)$  

•  $\left(2m-10\right)\left(2m-15\right)$  

•  $\left(4m-1\right)\left(m-24\right)$  

What are the factors of
 $3p^2-7p-6$  

•  $\left(p+3\right)\left(3p-2\right)$  

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

•  $\left(3p+2\right)\left(p-3\right)$  

•  $\left(3p-9\right)\left(3p+2\right)$  

What are the factors of
 $5b^2-11b+2$  

•  $\left(5b-1\right)\left(b-2\right)$  

•  $\left(b-1\right)\left(b-10\right)$  

•  $\left(b-2\right)\left(b-5\right)$  

•  $\left(5b-2\right)\left(b-5\right)$  

What are the factors of
$8g^2-18g-5$

• $\left(g+2\right)\left(g-20\right)$

• $\left(8g-1\right)\left(g+5\right)$

• $\left(2g+1\right)\left(4g-5\right)$

• $\left(4g+1\right)\left(2g-5\right)$

What are the factors of
 $2n^2+12n+16$  

•  $2\left(n+1\right)\left(n+8\right)$  

•  $\left(2n+2\right)\left(n+8\right)$  

•  $2\left(n+2\right)\left(n+4\right)$  

•  $\left(n+16\right)\left(2n+1\right)$  

What are the factors of
 $49x^2-100$  

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

•  $\left(x-4\right)\left(x-25\right)$  

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

•  $\left(49x-10\right)\left(x+10\right)$  

The area of a rectangular painting is  $2x^2+13x-7$ units.  Which of the following could be the dimensions of the painting? 
*Hint: Factor the trinomial*

•  $\left(2x+1\right)$  units by  $\left(2x+7\right)$  units

•  $\left(x-1\right)$  units by  $\left(x+14\right)$  units

•  $\left(x+1\right)$  units by  $\left(2x+7\right)$  units

•  $\left(2x-1\right)$  units by  $\left(x+7\right)$  units

Which binomial is a factor of
 $9x^2-25$  

•  $\left(x+5\right)$  

•  $\left(3x-25\right)$  

•  $\left(9x-5\right)$  

•  $\left(3x+5\right)$