The length of a rectangle is 3 ft more than the width

Question

1. Solve by factoring.

x² – x – 30 = 0

2. Solve by factoring.

(x – 2)(x + 10) = 0

3. Find the zeros of the function.

f(x) = 5x² + 15x – 200

4. Find the zeros of the function.

f(x) = 3x² – 12x – 63

5. Suppose that the cost C, in dollars, of producing x calculators is given by

C = x² – 50x + 2000

How many calculators can be produced for $5,600?

6. The length of a rectangle is 3 ft more than the width.  If the area of the rectangle is 40 ft2, find the dimensions of the rectangle.

7. Factor completely, if possible.

12x² – 56x –20

8. Factor completely, if possible.

7x² + 48x + 7