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

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 $$256 ft^2$$.

5).

a.  width of 4 and length of $$4x + 1) b. width of \(x+3$$ and a length of $$x – 7$$

c.  width of $$x-6$$ and a length of $$x + 6$$

6). Zucchini patch: width of $$\frac{3}{2}x – 2$$ and length of $$\frac{3}{2}x +2$$