# POLQ 1 | Lesson 4 | Making Connections (Applying Understanding of Polynomials) Solutions

Solutions:

1. South Side:  $$2x^2+7x-9 = (x-1) (2x+9)$$
2. Lettuce:  $$2x^2 +10x +22 = 2( x^2 +5x +11)$$   Carrots: $$4x^2$$
3. Lettuce: $$x^3 +12x^2 + 35x +24$$   Carrots: $$x^4$$
4. Perimeter of carrot patch is 64 ft. Area of carrot patch is 256 ft$$^2$$ .
1. width of 4 and length of $$4x+1$$
2. width of $$x+3$$ and a length of $$x-7$$
3. width of $$x-6$$ and a length of $$x+6$$
5.  Zucchini patch: width of $$\dfrac{3}{2}x-2$$ and length of $$\dfrac{3}{2}x +2$$