Study Guides
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41.
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 -
42.
Polynomial Division Practice Problems
To review these concepts, go to Polynomial Division Help and Synthetic Division Help Polynomial Division ...
Source: McGraw-Hill Professional -
43.
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 -
44.
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 -
45.
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 -
46.
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 -
47.
The Fundamental Theorem of Algebra Help
Introduction to The Fundamental Theorem of Algebra By the Fundamental Theorem of Algebra, every polynomial of degree n has exactly n zeros (some might be counted more than once). Because x = c is a zero implies ...
Source: McGraw-Hill Professional -
48.
The Fundamental Theorem of Algebra Practice Problems
To review these concepts, go to The Fundamental Theorem of Algebra Help The Fundamental Theorem of Algebra Practice Problems Problems
Source: McGraw-Hill Professional -
49.
Rational Functions Graphing Help
Introduction to Rational Functions Graphing When sketching the graph of a rational function, we use dashed lines for the asymptotes. We will sketch the graphs of rational functions in much the same way we sketched the graphs of polynomial functions. In addition to ...
Source: McGraw-Hill Professional -
50.
Present Value Help
Introduction to Present Value Suppose a couple wants to give their newborn grandson a gift of $50,000 on his 20th birthday. They can earn
Source: McGraw-Hill Professional
