You have 150 yards of fencing to enclose a rectangular region. One side of the rectangle does not need fenced.
a. Write the equation for area.
b. Write the equation for the fencing.
c. Solve the equation for fencing for y.
d. Substitute what you got for Part c into the area equation for y.
e. Write the function in the form (x) = ax2 + bx + c.
f. Calculate - b2a if the function has a maximum value at a < 0.
g. Find the length of side y.
h. Find the total area.
2.) Among all pairs of numbers whose sum is 24, find a pair whose product is as large as possible. What is the maximum product?
3. Find the 3 roots of the equation 2x 3 - 3x 2 - 45x - 54 = 0
a. Given the 1st root, x = -3, then x + 3 = 0 Use synthetic division to divide (2x 3 - 3x 2 - 45x - 54) by (x + 3).
b. Given the 2nd root, x = 6,henx - 6 = 0 Use synthetic division to divide the answer in Part a. by (x - 6)