Lecture notes for Section 6.1
... Big Idea: A rational expression is the quotient of two polynomials. We study them because they incorporate the arithmetic operation of division (polynomials only used addition, subtraction, and multiplication). We multiply and divide rational expressions in the same way we multiply or divide arithme ...
... Big Idea: A rational expression is the quotient of two polynomials. We study them because they incorporate the arithmetic operation of division (polynomials only used addition, subtraction, and multiplication). We multiply and divide rational expressions in the same way we multiply or divide arithme ...
How to find zeros of f(x) when it`s in expanded form and factoring
... When we try to find zeros of a polynomial function in expanded form and factoring doesn’t seem feasible, we a) Use synthetic division! b) Use Rational Zeros Theorem, Descartes’ Rule of Signs and Boundedness Theorem as guides for numbers we need to try in synthetic division. c) The goal is to reduce ...
... When we try to find zeros of a polynomial function in expanded form and factoring doesn’t seem feasible, we a) Use synthetic division! b) Use Rational Zeros Theorem, Descartes’ Rule of Signs and Boundedness Theorem as guides for numbers we need to try in synthetic division. c) The goal is to reduce ...
Division by zero
In mathematics, division by zero is division where the divisor (denominator) is zero. Such a division can be formally expressed as a/0 where a is the dividend (numerator). In ordinary arithmetic, the expression has no meaning, as there is no number which, multiplied by 0, gives a (assuming a≠0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 0/0 also has no defined value and is called an indeterminate form. Historically, one of the earliest recorded references to the mathematical impossibility of assigning a value to a/0 is contained in George Berkeley's criticism of infinitesimal calculus in The Analyst (""ghosts of departed quantities"").There are mathematical structures in which a/0 is defined for some a such as in Riemann spheres and real projective lines; however, such structures cannot satisfy every ordinary rule of arithmetic (the field axioms).In computing, a program error may result from an attempt to divide by zero. Depending on the programming environment and the type of number (e.g. floating point, integer) being divided by zero, it may generate positive or negative infinity by the IEEE 754 floating point standard, generate an exception, generate an error message, cause the program to terminate, or result in a special not-a-number value.