Study Guides
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1.
Polynomial Functions Help
Introduction to Polynomial Functions A polynomial function is a function in the form f(x) = a n x n + ...
Source: McGraw-Hill Professional -
2.
Polynomial Functions Practice Test
Review the following concepts if needed: Polynomial Functions Help
Source: McGraw-Hill Professional -
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 ...
Source: McGraw-Hill Professional -
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 ...
Source: McGraw-Hill Professional -
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 − ...
Source: McGraw-Hill Professional -
6.
Polynomial Division Practice Problems
To review these concepts, go to Polynomial Division Help and Synthetic Division Help Polynomial Division ...
Source: McGraw-Hill Professional -
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 ...
Source: McGraw-Hill Professional -
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 ...
Source: McGraw-Hill Professional -
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
Source: McGraw-Hill Professional -
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.
Source: McGraw-Hill Professional
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