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# Pre-Calculus: Polynomial Functions Help & Problems

Find study help on polynomial functions for pre-calculus. Use the links below to select the specific area of polynomial functions you're looking for help with. Each guide comes complete with an explanation, example problems, and practice problems with solutions to help you learn polynomial functions for pre-calculus.

### Study Guides

showing 1 - 10 of 12
• 1.

#### Polynomial Functions Help

Introduction to Polynomial Functions A polynomial function is a function in the form f(x) = a n x n + ...

• 2.

#### Polynomial Functions Practice Test

Review the following concepts if needed: Polynomial Functions Help

• 3.

#### Sketching Graphs of Polynomials Help

Introduction Sketching Graphs of Polynomials To sketch the graph of most polynomial functions accurately, we need to use calculus (don’t let that scare you—the calculus part is easier than the algebra part!) We can still get a pretty good graph using ...

• 4.

#### Polynomial Division Help

Introduction to Polynomial Division Polynomials can be divided in much the same way as whole numbers. When we take the quotient of two whole numbers (where the divisor is not zero), we get a quotient and a remainder. The same happens when we take the quotient of ...

• 5.

#### Synthetic Division Help

Introduction to Synthetic Division Synthetic division of polynomials is much easier than long division. It only works when the divisor is of a certain form, though. Here, we will use synthetic division when the divisor is of the form “ x − ...

• 6.

#### Polynomial Division Practice Problems

To review these concepts, go to Polynomial Division Help and Synthetic Division Help Polynomial Division ...

• 7.

#### Factoring Polynomials Help

Introduction to Factoring Polynomials The Rational Zero Theorem The Rational Zero Theorem says that if a polynomial function f(x) , with integer coefficients, has a rational number p/q as a zero, then p is ...

• 8.

#### Descartes Rule of Signs Help

Introduction to Descartes Rule of Signs and the Upper and Lower Bounds Theorem There are a couple of algebra facts that can help eliminate some of the possible rational zeros. The first we will learn is Descartes’ Rule of Signs. The second is the ...

• 9.

#### Complex Numbers Help

Introduction to Complex Numbers Until now, zeros of polynomials have been real numbers. The next topic involves complex zeros. These zeros come from even roots of negative numbers like

• 10.

#### Complex Solutions to Quadratic Equations Help

Introduction to Complex Solutions to Quadratic Equations Every quadratic equation has a solution, real or complex. The real solutions for a quadratic equation are the x -intercepts, for the graph of the quadratic function.

• 1

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