PRECALCULUS PRACTICE WORKSHEET

Problem 1 :

Find the product and write the result in standard form.

(8 – 3i) (-2 – 3i)

Solution

Problem 2 :

Divide and express the result in standard form.

Solution

Problem 3 :

Solve the quadratic equation using the quadratic formula. Express the solution in standard form.

4x² – 3x + 1 = 0

Solution

Problem 4 :

Find the coordinates of the vertex for the parabola defined by the given quadratic function.

f(x) = 5x² + 10x - 5

Solution

Problem 5 :

Solve the problem.

The cost in millions of dollars for a company to manufacture x thousand automobiles is given by the function

C(x) = 5x² – 20x + 36

Find the number of automobiles that must be produced to minimize the cost.

Solution

Problem 6 :

Find the zeros of the polynomial function.

f(x) = x³ + 4x² – 4x - 16

Solution

Problem 7 :

Divide using long division or synthetic division

Solution

Problem 8 :

Find a rational zero of the polynomial function and use it to find all the zeros of the function.

f(x) = x³ – 8x² + 19x - 14

Solution

Problem 9 :

Find the domain of the rational function.

Solution

Problem 10 :

Find the vertical asymptotes, if any, of the graph of the rational function.

Solution